%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : LCL668+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:29:43 AM UTC 2026
% Result : Theorem 67.52s 11.53s
% Output : CNFRefutation 67.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 60
% Number of leaves : 2
% Syntax : Number of formulae : 322 ( 77 unt; 0 typ; 0 def)
% Number of atoms : 7519 (1609 equ; 0 cnn)
% Maximal formula atoms : 84 ( 23 avg)
% Number of connectives : 16019 (5163 ~;3879 |; 100 &;6877 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 42 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 32 ( 29 usr; 16 con; 0-4 aty)
% Number of variables : 2484 ( 0 ^;2479 !; 5 ?;2484 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_p1,type,
p1: $i > $o ).
thf(tp_p10,type,
p10: $i > $o ).
thf(tp_p12,type,
p12: $i > $o ).
thf(tp_p2,type,
p2: $i > $o ).
thf(tp_p3,type,
p3: $i > $o ).
thf(tp_p4,type,
p4: $i > $o ).
thf(tp_p5,type,
p5: $i > $o ).
thf(tp_p6,type,
p6: $i > $o ).
thf(tp_p7,type,
p7: $i > $o ).
thf(tp_p8,type,
p8: $i > $o ).
thf(tp_r1,type,
r1: $i > $i > $o ).
thf(tp_sK10_SY150,type,
sK10_SY150: $i ).
thf(tp_sK11_SY113,type,
sK11_SY113: $i > $i ).
thf(tp_sK12_SY153,type,
sK12_SY153: $i ).
thf(tp_sK13_SY155,type,
sK13_SY155: $i ).
thf(tp_sK14_SY181,type,
sK14_SY181: $i ).
thf(tp_sK15_SY188,type,
sK15_SY188: $i ).
thf(tp_sK16_SY163,type,
sK16_SY163: $i > $i > $i ).
thf(tp_sK17_SY199,type,
sK17_SY199: $i > $i > $i > $i ).
thf(tp_sK18_SY230,type,
sK18_SY230: $i > $i > $i > $i > $i ).
thf(tp_sK1_SX0,type,
sK1_SX0: $i ).
thf(tp_sK2_SY90,type,
sK2_SY90: $i ).
thf(tp_sK3_SY49,type,
sK3_SY49: $i ).
thf(tp_sK4_SY55,type,
sK4_SY55: $i ).
thf(tp_sK5_SY96,type,
sK5_SY96: $i ).
thf(tp_sK6_SY101,type,
sK6_SY101: $i ).
thf(tp_sK7_SY139,type,
sK7_SY139: $i ).
thf(tp_sK8_SY143,type,
sK8_SY143: $i ).
thf(tp_sK9_SY147,type,
sK9_SY147: $i ).
thf(1,axiom,
! [X: $i] : ( r1 @ X @ X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
thf(2,conjecture,
~ ? [X: $i] :
~ ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( ~ ( p12 @ X )
& ~ ( p10 @ X )
& ~ ( p8 @ X )
& ~ ( p6 @ X )
& ~ ( p4 @ X )
& ~ ( p2 @ X ) ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p7 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p5 @ X )
& ~ ( p1 @ X ) )
| ( ( p1 @ X )
& ( p5 @ X ) ) ) ) ) ) ) ) ) )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p6 @ X ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p4 @ X )
& ~ ( p5 @ X ) )
| ( ( p5 @ X )
& ( p4 @ X ) ) ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p5 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p3 @ X )
& ~ ( p4 @ X ) )
| ( ( p4 @ X )
& ( p3 @ X ) ) ) ) ) ) ) )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p4 @ X ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p2 @ X )
& ~ ( p3 @ X ) )
| ( ( p3 @ X )
& ( p2 @ X ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p3 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p1 @ X )
& ~ ( p2 @ X ) )
| ( ( p2 @ X )
& ( p1 @ X ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( ( p6 @ X )
& ( p5 @ X )
& ( p4 @ X )
& ( p3 @ X )
& ( p2 @ X )
& ( p1 @ X ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
thf(3,negated_conjecture,
( ( ~ ? [X: $i] :
~ ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( ~ ( p12 @ X )
& ~ ( p10 @ X )
& ~ ( p8 @ X )
& ~ ( p6 @ X )
& ~ ( p4 @ X )
& ~ ( p2 @ X ) ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p7 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p5 @ X )
& ~ ( p1 @ X ) )
| ( ( p1 @ X )
& ( p5 @ X ) ) ) ) ) ) ) ) ) )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p6 @ X ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p4 @ X )
& ~ ( p5 @ X ) )
| ( ( p5 @ X )
& ( p4 @ X ) ) ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p5 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p3 @ X )
& ~ ( p4 @ X ) )
| ( ( p4 @ X )
& ( p3 @ X ) ) ) ) ) ) ) )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p4 @ X ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p2 @ X )
& ~ ( p3 @ X ) )
| ( ( p3 @ X )
& ( p2 @ X ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p3 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p1 @ X )
& ~ ( p2 @ X ) )
| ( ( p2 @ X )
& ( p1 @ X ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( ( p6 @ X )
& ( p5 @ X )
& ( p4 @ X )
& ( p3 @ X )
& ( p2 @ X )
& ( p1 @ X ) ) ) ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[2]) ).
thf(4,plain,
( ( ~ ? [X: $i] :
~ ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( ~ ( p12 @ X )
& ~ ( p10 @ X )
& ~ ( p8 @ X )
& ~ ( p6 @ X )
& ~ ( p4 @ X )
& ~ ( p2 @ X ) ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p7 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p5 @ X )
& ~ ( p1 @ X ) )
| ( ( p1 @ X )
& ( p5 @ X ) ) ) ) ) ) ) ) ) )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p6 @ X ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p4 @ X )
& ~ ( p5 @ X ) )
| ( ( p5 @ X )
& ( p4 @ X ) ) ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p5 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p3 @ X )
& ~ ( p4 @ X ) )
| ( ( p4 @ X )
& ( p3 @ X ) ) ) ) ) ) ) )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p4 @ X ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p2 @ X )
& ~ ( p3 @ X ) )
| ( ( p3 @ X )
& ( p2 @ X ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p3 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p1 @ X )
& ~ ( p2 @ X ) )
| ( ( p2 @ X )
& ( p1 @ X ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( ( p6 @ X )
& ( p5 @ X )
& ( p4 @ X )
& ( p3 @ X )
& ( p2 @ X )
& ( p1 @ X ) ) ) ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [X: $i] : ( r1 @ X @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(6,plain,
( ( ? [X: $i] :
~ ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( ~ ( p12 @ X )
& ~ ( p10 @ X )
& ~ ( p8 @ X )
& ~ ( p6 @ X )
& ~ ( p4 @ X )
& ~ ( p2 @ X ) ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p7 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p5 @ X )
& ~ ( p1 @ X ) )
| ( ( p1 @ X )
& ( p5 @ X ) ) ) ) ) ) ) ) ) )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p6 @ X ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p4 @ X )
& ~ ( p5 @ X ) )
| ( ( p5 @ X )
& ( p4 @ X ) ) ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p5 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p3 @ X )
& ~ ( p4 @ X ) )
| ( ( p4 @ X )
& ( p3 @ X ) ) ) ) ) ) ) )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p4 @ X ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p2 @ X )
& ~ ( p3 @ X ) )
| ( ( p3 @ X )
& ( p2 @ X ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p3 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p1 @ X )
& ~ ( p2 @ X ) )
| ( ( p2 @ X )
& ( p1 @ X ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( ( p6 @ X )
& ( p5 @ X )
& ( p4 @ X )
& ( p3 @ X )
& ( p2 @ X )
& ( p1 @ X ) ) ) ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(7,plain,
( ( ! [X: $i] : ( r1 @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(8,plain,
( ( ? [X: $i] :
~ ( ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( ~ ( p12 @ X )
& ~ ( p10 @ X )
& ~ ( p8 @ X )
& ~ ( p6 @ X )
& ~ ( p4 @ X )
& ~ ( p2 @ X ) ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p7 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p5 @ X )
& ~ ( p1 @ X ) )
| ( ( p1 @ X )
& ( p5 @ X ) ) ) ) ) ) ) ) ) )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p6 @ X ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p4 @ X )
& ~ ( p5 @ X ) )
| ( ( p5 @ X )
& ( p4 @ X ) ) ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p5 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ( ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p3 @ X )
& ~ ( p4 @ X ) )
| ( ( p4 @ X )
& ( p3 @ X ) ) ) ) ) ) ) )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( p4 @ X ) )
| ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p2 @ X )
& ~ ( p3 @ X ) )
| ( ( p3 @ X )
& ( p2 @ X ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ( p3 @ Y ) )
| ~ ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ~ ~ ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ~ ( ( ~ ( p1 @ X )
& ~ ( p2 @ X ) )
| ( ( p2 @ X )
& ( p1 @ X ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ! [Y: $i] :
( ~ ( r1 @ X @ Y )
| ! [X: $i] :
( ~ ( r1 @ Y @ X )
| ( ( p6 @ X )
& ( p5 @ X )
& ( p4 @ X )
& ( p3 @ X )
& ( p2 @ X )
& ( p1 @ X ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(9,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( p12 @ SX6 )
| ~ ~ ( p10 @ SX6 ) )
| ~ ~ ( p8 @ SX6 ) )
| ~ ~ ( p6 @ SX6 ) )
| ~ ~ ( p4 @ SX6 ) )
| ~ ~ ( p2 @ SX6 ) ) ) ) ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p7 @ SX1 ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p5 @ SX8 )
| ~ ~ ( p1 @ SX8 ) )
| ~ ( ~ ( p1 @ SX8 )
| ~ ( p5 @ SX8 ) ) ) ) ) ) ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p6 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p4 @ SX8 )
| ~ ~ ( p5 @ SX8 ) )
| ~ ( ~ ( p5 @ SX8 )
| ~ ( p4 @ SX8 ) ) ) ) ) ) ) ) )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p5 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p3 @ SX8 )
| ~ ~ ( p4 @ SX8 ) )
| ~ ( ~ ( p4 @ SX8 )
| ~ ( p3 @ SX8 ) ) ) ) ) ) ) )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p4 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) ) )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( p6 @ SX6 )
| ~ ( p5 @ SX6 ) )
| ~ ( p4 @ SX6 ) )
| ~ ( p3 @ SX6 ) )
| ~ ( p2 @ SX6 ) )
| ~ ( p1 @ SX6 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(10,plain,
! [SV1: $i] :
( ( r1 @ SV1 @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7]) ).
thf(11,plain,
( ( ! [SX0: $i] :
~ ~ ( ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( p12 @ SX6 )
| ~ ~ ( p10 @ SX6 ) )
| ~ ~ ( p8 @ SX6 ) )
| ~ ~ ( p6 @ SX6 ) )
| ~ ~ ( p4 @ SX6 ) )
| ~ ~ ( p2 @ SX6 ) ) ) ) ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ( p7 @ SX1 ) )
| ~ ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p5 @ SX8 )
| ~ ~ ( p1 @ SX8 ) )
| ~ ( ~ ( p1 @ SX8 )
| ~ ( p5 @ SX8 ) ) ) ) ) ) ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ( p6 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p4 @ SX8 )
| ~ ~ ( p5 @ SX8 ) )
| ~ ( ~ ( p5 @ SX8 )
| ~ ( p4 @ SX8 ) ) ) ) ) ) ) ) )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p5 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p3 @ SX8 )
| ~ ~ ( p4 @ SX8 ) )
| ~ ( ~ ( p4 @ SX8 )
| ~ ( p3 @ SX8 ) ) ) ) ) ) ) )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p4 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) ) )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [SX1: $i] :
( ~ ( r1 @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( r1 @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( p6 @ SX6 )
| ~ ( p5 @ SX6 ) )
| ~ ( p4 @ SX6 ) )
| ~ ( p3 @ SX6 ) )
| ~ ( p2 @ SX6 ) )
| ~ ( p1 @ SX6 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[9]) ).
thf(12,plain,
( ( ~ ~ ( ! [SY49: $i] :
( ~ ( r1 @ sK1_SX0 @ SY49 )
| ! [SX2: $i] :
( ~ ( r1 @ SY49 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( p12 @ SX6 )
| ~ ~ ( p10 @ SX6 ) )
| ~ ~ ( p8 @ SX6 ) )
| ~ ~ ( p6 @ SX6 ) )
| ~ ~ ( p4 @ SX6 ) )
| ~ ~ ( p2 @ SX6 ) ) ) ) ) ) ) )
| ! [SY55: $i] :
( ~ ( r1 @ sK1_SX0 @ SY55 )
| ( p7 @ SY55 ) )
| ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SY56 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p5 @ SX8 )
| ~ ~ ( p1 @ SX8 ) )
| ~ ( ~ ( p1 @ SX8 )
| ~ ( p5 @ SX8 ) ) ) ) ) ) ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SY56 @ SX2 )
| ( p6 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY56 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p4 @ SX8 )
| ~ ~ ( p5 @ SX8 ) )
| ~ ( ~ ( p5 @ SX8 )
| ~ ( p4 @ SX8 ) ) ) ) ) ) ) ) )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p5 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p3 @ SX8 )
| ~ ~ ( p4 @ SX8 ) )
| ~ ( ~ ( p4 @ SX8 )
| ~ ( p3 @ SX8 ) ) ) ) ) ) ) )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p4 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) ) )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [SY90: $i] :
( ~ ( r1 @ sK1_SX0 @ SY90 )
| ! [SX2: $i] :
( ~ ( r1 @ SY90 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( p6 @ SX6 )
| ~ ( p5 @ SX6 ) )
| ~ ( p4 @ SX6 ) )
| ~ ( p3 @ SX6 ) )
| ~ ( p2 @ SX6 ) )
| ~ ( p1 @ SX6 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[11]) ).
thf(13,plain,
( ( ~ ( ! [SY49: $i] :
( ~ ( r1 @ sK1_SX0 @ SY49 )
| ! [SX2: $i] :
( ~ ( r1 @ SY49 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( p12 @ SX6 )
| ~ ~ ( p10 @ SX6 ) )
| ~ ~ ( p8 @ SX6 ) )
| ~ ~ ( p6 @ SX6 ) )
| ~ ~ ( p4 @ SX6 ) )
| ~ ~ ( p2 @ SX6 ) ) ) ) ) ) ) )
| ! [SY55: $i] :
( ~ ( r1 @ sK1_SX0 @ SY55 )
| ( p7 @ SY55 ) )
| ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SY56 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p5 @ SX8 )
| ~ ~ ( p1 @ SX8 ) )
| ~ ( ~ ( p1 @ SX8 )
| ~ ( p5 @ SX8 ) ) ) ) ) ) ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SY56 @ SX2 )
| ( p6 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY56 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p4 @ SX8 )
| ~ ~ ( p5 @ SX8 ) )
| ~ ( ~ ( p5 @ SX8 )
| ~ ( p4 @ SX8 ) ) ) ) ) ) ) ) )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p5 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p3 @ SX8 )
| ~ ~ ( p4 @ SX8 ) )
| ~ ( ~ ( p4 @ SX8 )
| ~ ( p3 @ SX8 ) ) ) ) ) ) ) )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p4 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) ) )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [SY90: $i] :
( ~ ( r1 @ sK1_SX0 @ SY90 )
| ! [SX2: $i] :
( ~ ( r1 @ SY90 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( p6 @ SX6 )
| ~ ( p5 @ SX6 ) )
| ~ ( p4 @ SX6 ) )
| ~ ( p3 @ SX6 ) )
| ~ ( p2 @ SX6 ) )
| ~ ( p1 @ SX6 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[12]) ).
thf(14,plain,
( ( ! [SY49: $i] :
( ~ ( r1 @ sK1_SX0 @ SY49 )
| ! [SX2: $i] :
( ~ ( r1 @ SY49 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( p12 @ SX6 )
| ~ ~ ( p10 @ SX6 ) )
| ~ ~ ( p8 @ SX6 ) )
| ~ ~ ( p6 @ SX6 ) )
| ~ ~ ( p4 @ SX6 ) )
| ~ ~ ( p2 @ SX6 ) ) ) ) ) ) ) )
| ! [SY55: $i] :
( ~ ( r1 @ sK1_SX0 @ SY55 )
| ( p7 @ SY55 ) )
| ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SY56 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p5 @ SX8 )
| ~ ~ ( p1 @ SX8 ) )
| ~ ( ~ ( p1 @ SX8 )
| ~ ( p5 @ SX8 ) ) ) ) ) ) ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SY56 @ SX2 )
| ( p6 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY56 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p4 @ SX8 )
| ~ ~ ( p5 @ SX8 ) )
| ~ ( ~ ( p5 @ SX8 )
| ~ ( p4 @ SX8 ) ) ) ) ) ) ) ) )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p5 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p3 @ SX8 )
| ~ ~ ( p4 @ SX8 ) )
| ~ ( ~ ( p4 @ SX8 )
| ~ ( p3 @ SX8 ) ) ) ) ) ) ) )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p4 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) ) )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [SY90: $i] :
( ~ ( r1 @ sK1_SX0 @ SY90 )
| ! [SX2: $i] :
( ~ ( r1 @ SY90 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( p6 @ SX6 )
| ~ ( p5 @ SX6 ) )
| ~ ( p4 @ SX6 ) )
| ~ ( p3 @ SX6 ) )
| ~ ( p2 @ SX6 ) )
| ~ ( p1 @ SX6 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[13]) ).
thf(15,plain,
( ( ! [SY49: $i] :
( ~ ( r1 @ sK1_SX0 @ SY49 )
| ! [SX2: $i] :
( ~ ( r1 @ SY49 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( p12 @ SX6 )
| ~ ~ ( p10 @ SX6 ) )
| ~ ~ ( p8 @ SX6 ) )
| ~ ~ ( p6 @ SX6 ) )
| ~ ~ ( p4 @ SX6 ) )
| ~ ~ ( p2 @ SX6 ) ) ) ) ) ) ) )
| ! [SY55: $i] :
( ~ ( r1 @ sK1_SX0 @ SY55 )
| ( p7 @ SY55 ) )
| ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SY56 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p5 @ SX8 )
| ~ ~ ( p1 @ SX8 ) )
| ~ ( ~ ( p1 @ SX8 )
| ~ ( p5 @ SX8 ) ) ) ) ) ) ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SY56 @ SX2 )
| ( p6 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY56 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p4 @ SX8 )
| ~ ~ ( p5 @ SX8 ) )
| ~ ( ~ ( p5 @ SX8 )
| ~ ( p4 @ SX8 ) ) ) ) ) ) ) ) )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p5 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p3 @ SX8 )
| ~ ~ ( p4 @ SX8 ) )
| ~ ( ~ ( p4 @ SX8 )
| ~ ( p3 @ SX8 ) ) ) ) ) ) ) )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p4 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) ) )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(16,plain,
( ( ! [SY90: $i] :
( ~ ( r1 @ sK1_SX0 @ SY90 )
| ! [SX2: $i] :
( ~ ( r1 @ SY90 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( p6 @ SX6 )
| ~ ( p5 @ SX6 ) )
| ~ ( p4 @ SX6 ) )
| ~ ( p3 @ SX6 ) )
| ~ ( p2 @ SX6 ) )
| ~ ( p1 @ SX6 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(17,plain,
( ( ! [SY49: $i] :
( ~ ( r1 @ sK1_SX0 @ SY49 )
| ! [SX2: $i] :
( ~ ( r1 @ SY49 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( p12 @ SX6 )
| ~ ~ ( p10 @ SX6 ) )
| ~ ~ ( p8 @ SX6 ) )
| ~ ~ ( p6 @ SX6 ) )
| ~ ~ ( p4 @ SX6 ) )
| ~ ~ ( p2 @ SX6 ) ) ) ) ) ) ) )
| ! [SY55: $i] :
( ~ ( r1 @ sK1_SX0 @ SY55 )
| ( p7 @ SY55 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[15]) ).
thf(18,plain,
( ( ~ ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SY56 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p5 @ SX8 )
| ~ ~ ( p1 @ SX8 ) )
| ~ ( ~ ( p1 @ SX8 )
| ~ ( p5 @ SX8 ) ) ) ) ) ) ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SY56 @ SX2 )
| ( p6 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY56 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p4 @ SX8 )
| ~ ~ ( p5 @ SX8 ) )
| ~ ( ~ ( p5 @ SX8 )
| ~ ( p4 @ SX8 ) ) ) ) ) ) ) ) )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p5 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p3 @ SX8 )
| ~ ~ ( p4 @ SX8 ) )
| ~ ( ~ ( p4 @ SX8 )
| ~ ( p3 @ SX8 ) ) ) ) ) ) ) )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p4 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) ) )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[15]) ).
thf(19,plain,
( ( ~ ( r1 @ sK1_SX0 @ sK2_SY90 )
| ! [SY96: $i] :
( ~ ( r1 @ sK2_SY90 @ SY96 )
| ! [SX3: $i] :
( ~ ( r1 @ SY96 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( p6 @ SX6 )
| ~ ( p5 @ SX6 ) )
| ~ ( p4 @ SX6 ) )
| ~ ( p3 @ SX6 ) )
| ~ ( p2 @ SX6 ) )
| ~ ( p1 @ SX6 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[16]) ).
thf(20,plain,
( ( ! [SY49: $i] :
( ~ ( r1 @ sK1_SX0 @ SY49 )
| ! [SX2: $i] :
( ~ ( r1 @ SY49 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( p12 @ SX6 )
| ~ ~ ( p10 @ SX6 ) )
| ~ ~ ( p8 @ SX6 ) )
| ~ ~ ( p6 @ SX6 ) )
| ~ ~ ( p4 @ SX6 ) )
| ~ ~ ( p2 @ SX6 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(21,plain,
( ( ! [SY55: $i] :
( ~ ( r1 @ sK1_SX0 @ SY55 )
| ( p7 @ SY55 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(22,plain,
( ( ! [SY56: $i] :
( ~ ( r1 @ sK1_SX0 @ SY56 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( r1 @ SY56 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p5 @ SX8 )
| ~ ~ ( p1 @ SX8 ) )
| ~ ( ~ ( p1 @ SX8 )
| ~ ( p5 @ SX8 ) ) ) ) ) ) ) ) ) )
| ! [SX2: $i] :
( ~ ( r1 @ SY56 @ SX2 )
| ( p6 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SY56 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p4 @ SX8 )
| ~ ~ ( p5 @ SX8 ) )
| ~ ( ~ ( p5 @ SX8 )
| ~ ( p4 @ SX8 ) ) ) ) ) ) ) ) )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( p5 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p3 @ SX8 )
| ~ ~ ( p4 @ SX8 ) )
| ~ ( ~ ( p4 @ SX8 )
| ~ ( p3 @ SX8 ) ) ) ) ) ) ) )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p4 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) ) )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[18]) ).
thf(23,plain,
( ( ~ ( r1 @ sK1_SX0 @ sK2_SY90 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[19]) ).
thf(24,plain,
( ( ! [SY96: $i] :
( ~ ( r1 @ sK2_SY90 @ SY96 )
| ! [SX3: $i] :
( ~ ( r1 @ SY96 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( p6 @ SX6 )
| ~ ( p5 @ SX6 ) )
| ~ ( p4 @ SX6 ) )
| ~ ( p3 @ SX6 ) )
| ~ ( p2 @ SX6 ) )
| ~ ( p1 @ SX6 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[19]) ).
thf(25,plain,
( ( ~ ( r1 @ sK1_SX0 @ sK3_SY49 )
| ! [SY101: $i] :
( ~ ( r1 @ sK3_SY49 @ SY101 )
| ! [SX3: $i] :
( ~ ( r1 @ SY101 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( p12 @ SX6 )
| ~ ~ ( p10 @ SX6 ) )
| ~ ~ ( p8 @ SX6 ) )
| ~ ~ ( p6 @ SX6 ) )
| ~ ~ ( p4 @ SX6 ) )
| ~ ~ ( p2 @ SX6 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[20]) ).
thf(26,plain,
( ( ~ ( r1 @ sK1_SX0 @ sK4_SY55 )
| ( p7 @ sK4_SY55 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[21]) ).
thf(27,plain,
! [SV2: $i] :
( ( ~ ( r1 @ sK1_SX0 @ SV2 )
| ~ ( ~ ! [SY106: $i] :
( ~ ( r1 @ SV2 @ SY106 )
| ! [SX3: $i] :
( ~ ( r1 @ SY106 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p5 @ SX8 )
| ~ ~ ( p1 @ SX8 ) )
| ~ ( ~ ( p1 @ SX8 )
| ~ ( p5 @ SX8 ) ) ) ) ) ) ) ) ) )
| ! [SY113: $i] :
( ~ ( r1 @ SV2 @ SY113 )
| ( p6 @ SY113 ) )
| ~ ! [SY114: $i] :
( ~ ( r1 @ SV2 @ SY114 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SY114 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p4 @ SX8 )
| ~ ~ ( p5 @ SX8 ) )
| ~ ( ~ ( p5 @ SX8 )
| ~ ( p4 @ SX8 ) ) ) ) ) ) ) ) )
| ! [SX3: $i] :
( ~ ( r1 @ SY114 @ SX3 )
| ( p5 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY114 @ SX3 )
| ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p3 @ SX8 )
| ~ ~ ( p4 @ SX8 ) )
| ~ ( ~ ( p4 @ SX8 )
| ~ ( p3 @ SX8 ) ) ) ) ) ) ) )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p4 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) ) )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(28,plain,
( ( r1 @ sK1_SX0 @ sK2_SY90 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[23]) ).
thf(29,plain,
( ( ~ ( r1 @ sK2_SY90 @ sK5_SY96 )
| ! [SY139: $i] :
( ~ ( r1 @ sK5_SY96 @ SY139 )
| ! [SX4: $i] :
( ~ ( r1 @ SY139 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( p6 @ SX6 )
| ~ ( p5 @ SX6 ) )
| ~ ( p4 @ SX6 ) )
| ~ ( p3 @ SX6 ) )
| ~ ( p2 @ SX6 ) )
| ~ ( p1 @ SX6 ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[24]) ).
thf(30,plain,
( ( ~ ( r1 @ sK1_SX0 @ sK3_SY49 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(31,plain,
( ( ! [SY101: $i] :
( ~ ( r1 @ sK3_SY49 @ SY101 )
| ! [SX3: $i] :
( ~ ( r1 @ SY101 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( p12 @ SX6 )
| ~ ~ ( p10 @ SX6 ) )
| ~ ~ ( p8 @ SX6 ) )
| ~ ~ ( p6 @ SX6 ) )
| ~ ~ ( p4 @ SX6 ) )
| ~ ~ ( p2 @ SX6 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(32,plain,
( ( ~ ( r1 @ sK1_SX0 @ sK4_SY55 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(33,plain,
( ( p7 @ sK4_SY55 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(34,plain,
! [SV2: $i] :
( ( ( ~ ( r1 @ sK1_SX0 @ SV2 ) )
= $true )
| ( ( ~ ( ~ ! [SY106: $i] :
( ~ ( r1 @ SV2 @ SY106 )
| ! [SX3: $i] :
( ~ ( r1 @ SY106 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p5 @ SX8 )
| ~ ~ ( p1 @ SX8 ) )
| ~ ( ~ ( p1 @ SX8 )
| ~ ( p5 @ SX8 ) ) ) ) ) ) ) ) ) )
| ! [SY113: $i] :
( ~ ( r1 @ SV2 @ SY113 )
| ( p6 @ SY113 ) )
| ~ ! [SY114: $i] :
( ~ ( r1 @ SV2 @ SY114 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SY114 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p4 @ SX8 )
| ~ ~ ( p5 @ SX8 ) )
| ~ ( ~ ( p5 @ SX8 )
| ~ ( p4 @ SX8 ) ) ) ) ) ) ) ) )
| ! [SX3: $i] :
( ~ ( r1 @ SY114 @ SX3 )
| ( p5 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY114 @ SX3 )
| ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p3 @ SX8 )
| ~ ~ ( p4 @ SX8 ) )
| ~ ( ~ ( p4 @ SX8 )
| ~ ( p3 @ SX8 ) ) ) ) ) ) ) )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p4 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) ) )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[27]) ).
thf(35,plain,
( ( ~ ( r1 @ sK2_SY90 @ sK5_SY96 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(36,plain,
( ( ! [SY139: $i] :
( ~ ( r1 @ sK5_SY96 @ SY139 )
| ! [SX4: $i] :
( ~ ( r1 @ SY139 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( p6 @ SX6 )
| ~ ( p5 @ SX6 ) )
| ~ ( p4 @ SX6 ) )
| ~ ( p3 @ SX6 ) )
| ~ ( p2 @ SX6 ) )
| ~ ( p1 @ SX6 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(37,plain,
( ( r1 @ sK1_SX0 @ sK3_SY49 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[30]) ).
thf(38,plain,
( ( ~ ( r1 @ sK3_SY49 @ sK6_SY101 )
| ! [SY143: $i] :
( ~ ( r1 @ sK6_SY101 @ SY143 )
| ! [SX4: $i] :
( ~ ( r1 @ SY143 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( p12 @ SX6 )
| ~ ~ ( p10 @ SX6 ) )
| ~ ~ ( p8 @ SX6 ) )
| ~ ~ ( p6 @ SX6 ) )
| ~ ~ ( p4 @ SX6 ) )
| ~ ~ ( p2 @ SX6 ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[31]) ).
thf(39,plain,
( ( r1 @ sK1_SX0 @ sK4_SY55 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(40,plain,
! [SV2: $i] :
( ( ( r1 @ sK1_SX0 @ SV2 )
= $false )
| ( ( ~ ( ~ ! [SY106: $i] :
( ~ ( r1 @ SV2 @ SY106 )
| ! [SX3: $i] :
( ~ ( r1 @ SY106 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p5 @ SX8 )
| ~ ~ ( p1 @ SX8 ) )
| ~ ( ~ ( p1 @ SX8 )
| ~ ( p5 @ SX8 ) ) ) ) ) ) ) ) ) )
| ! [SY113: $i] :
( ~ ( r1 @ SV2 @ SY113 )
| ( p6 @ SY113 ) )
| ~ ! [SY114: $i] :
( ~ ( r1 @ SV2 @ SY114 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SY114 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p4 @ SX8 )
| ~ ~ ( p5 @ SX8 ) )
| ~ ( ~ ( p5 @ SX8 )
| ~ ( p4 @ SX8 ) ) ) ) ) ) ) ) )
| ! [SX3: $i] :
( ~ ( r1 @ SY114 @ SX3 )
| ( p5 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY114 @ SX3 )
| ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p3 @ SX8 )
| ~ ~ ( p4 @ SX8 ) )
| ~ ( ~ ( p4 @ SX8 )
| ~ ( p3 @ SX8 ) ) ) ) ) ) ) )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p4 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) ) )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(41,plain,
( ( r1 @ sK2_SY90 @ sK5_SY96 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(42,plain,
( ( ~ ( r1 @ sK5_SY96 @ sK7_SY139 )
| ! [SY147: $i] :
( ~ ( r1 @ sK7_SY139 @ SY147 )
| ! [SX5: $i] :
( ~ ( r1 @ SY147 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( p6 @ SX6 )
| ~ ( p5 @ SX6 ) )
| ~ ( p4 @ SX6 ) )
| ~ ( p3 @ SX6 ) )
| ~ ( p2 @ SX6 ) )
| ~ ( p1 @ SX6 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[36]) ).
thf(43,plain,
( ( ~ ( r1 @ sK3_SY49 @ sK6_SY101 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(44,plain,
( ( ! [SY143: $i] :
( ~ ( r1 @ sK6_SY101 @ SY143 )
| ! [SX4: $i] :
( ~ ( r1 @ SY143 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( p12 @ SX6 )
| ~ ~ ( p10 @ SX6 ) )
| ~ ~ ( p8 @ SX6 ) )
| ~ ~ ( p6 @ SX6 ) )
| ~ ~ ( p4 @ SX6 ) )
| ~ ~ ( p2 @ SX6 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(45,plain,
! [SV2: $i] :
( ( ( ~ ! [SY106: $i] :
( ~ ( r1 @ SV2 @ SY106 )
| ! [SX3: $i] :
( ~ ( r1 @ SY106 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p5 @ SX8 )
| ~ ~ ( p1 @ SX8 ) )
| ~ ( ~ ( p1 @ SX8 )
| ~ ( p5 @ SX8 ) ) ) ) ) ) ) ) ) )
| ! [SY113: $i] :
( ~ ( r1 @ SV2 @ SY113 )
| ( p6 @ SY113 ) )
| ~ ! [SY114: $i] :
( ~ ( r1 @ SV2 @ SY114 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SY114 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p4 @ SX8 )
| ~ ~ ( p5 @ SX8 ) )
| ~ ( ~ ( p5 @ SX8 )
| ~ ( p4 @ SX8 ) ) ) ) ) ) ) ) )
| ! [SX3: $i] :
( ~ ( r1 @ SY114 @ SX3 )
| ( p5 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY114 @ SX3 )
| ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p3 @ SX8 )
| ~ ~ ( p4 @ SX8 ) )
| ~ ( ~ ( p4 @ SX8 )
| ~ ( p3 @ SX8 ) ) ) ) ) ) ) )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p4 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) ) )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(46,plain,
( ( ~ ( r1 @ sK5_SY96 @ sK7_SY139 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[42]) ).
thf(47,plain,
( ( ! [SY147: $i] :
( ~ ( r1 @ sK7_SY139 @ SY147 )
| ! [SX5: $i] :
( ~ ( r1 @ SY147 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( p6 @ SX6 )
| ~ ( p5 @ SX6 ) )
| ~ ( p4 @ SX6 ) )
| ~ ( p3 @ SX6 ) )
| ~ ( p2 @ SX6 ) )
| ~ ( p1 @ SX6 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[42]) ).
thf(48,plain,
( ( r1 @ sK3_SY49 @ sK6_SY101 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(49,plain,
( ( ~ ( r1 @ sK6_SY101 @ sK8_SY143 )
| ! [SY150: $i] :
( ~ ( r1 @ sK8_SY143 @ SY150 )
| ! [SX5: $i] :
( ~ ( r1 @ SY150 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( p12 @ SX6 )
| ~ ~ ( p10 @ SX6 ) )
| ~ ~ ( p8 @ SX6 ) )
| ~ ~ ( p6 @ SX6 ) )
| ~ ~ ( p4 @ SX6 ) )
| ~ ~ ( p2 @ SX6 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[44]) ).
thf(50,plain,
! [SV2: $i] :
( ( ( ~ ! [SY106: $i] :
( ~ ( r1 @ SV2 @ SY106 )
| ! [SX3: $i] :
( ~ ( r1 @ SY106 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p5 @ SX8 )
| ~ ~ ( p1 @ SX8 ) )
| ~ ( ~ ( p1 @ SX8 )
| ~ ( p5 @ SX8 ) ) ) ) ) ) ) ) ) )
| ! [SY113: $i] :
( ~ ( r1 @ SV2 @ SY113 )
| ( p6 @ SY113 ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(51,plain,
! [SV2: $i] :
( ( ( ~ ! [SY114: $i] :
( ~ ( r1 @ SV2 @ SY114 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SY114 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p4 @ SX8 )
| ~ ~ ( p5 @ SX8 ) )
| ~ ( ~ ( p5 @ SX8 )
| ~ ( p4 @ SX8 ) ) ) ) ) ) ) ) )
| ! [SX3: $i] :
( ~ ( r1 @ SY114 @ SX3 )
| ( p5 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY114 @ SX3 )
| ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p3 @ SX8 )
| ~ ~ ( p4 @ SX8 ) )
| ~ ( ~ ( p4 @ SX8 )
| ~ ( p3 @ SX8 ) ) ) ) ) ) ) )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p4 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) ) )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(52,plain,
( ( r1 @ sK5_SY96 @ sK7_SY139 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(53,plain,
( ( ~ ( r1 @ sK7_SY139 @ sK9_SY147 )
| ! [SY153: $i] :
( ~ ( r1 @ sK9_SY147 @ SY153 )
| ! [SX6: $i] :
( ~ ( r1 @ SY153 @ SX6 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( p6 @ SX6 )
| ~ ( p5 @ SX6 ) )
| ~ ( p4 @ SX6 ) )
| ~ ( p3 @ SX6 ) )
| ~ ( p2 @ SX6 ) )
| ~ ( p1 @ SX6 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[47]) ).
thf(54,plain,
( ( ~ ( r1 @ sK6_SY101 @ sK8_SY143 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[49]) ).
thf(55,plain,
( ( ! [SY150: $i] :
( ~ ( r1 @ sK8_SY143 @ SY150 )
| ! [SX5: $i] :
( ~ ( r1 @ SY150 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( p12 @ SX6 )
| ~ ~ ( p10 @ SX6 ) )
| ~ ~ ( p8 @ SX6 ) )
| ~ ~ ( p6 @ SX6 ) )
| ~ ~ ( p4 @ SX6 ) )
| ~ ~ ( p2 @ SX6 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[49]) ).
thf(56,plain,
! [SV2: $i] :
( ( ( ~ ! [SY106: $i] :
( ~ ( r1 @ SV2 @ SY106 )
| ! [SX3: $i] :
( ~ ( r1 @ SY106 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p5 @ SX8 )
| ~ ~ ( p1 @ SX8 ) )
| ~ ( ~ ( p1 @ SX8 )
| ~ ( p5 @ SX8 ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(57,plain,
! [SV2: $i] :
( ( ( ! [SY113: $i] :
( ~ ( r1 @ SV2 @ SY113 )
| ( p6 @ SY113 ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(58,plain,
! [SV2: $i] :
( ( ( ! [SY114: $i] :
( ~ ( r1 @ SV2 @ SY114 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( r1 @ SY114 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p4 @ SX8 )
| ~ ~ ( p5 @ SX8 ) )
| ~ ( ~ ( p5 @ SX8 )
| ~ ( p4 @ SX8 ) ) ) ) ) ) ) ) )
| ! [SX3: $i] :
( ~ ( r1 @ SY114 @ SX3 )
| ( p5 @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY114 @ SX3 )
| ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p3 @ SX8 )
| ~ ~ ( p4 @ SX8 ) )
| ~ ( ~ ( p4 @ SX8 )
| ~ ( p3 @ SX8 ) ) ) ) ) ) ) )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ( p4 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ~ ( ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) ) )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(59,plain,
( ( ~ ( r1 @ sK7_SY139 @ sK9_SY147 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(60,plain,
( ( ! [SY153: $i] :
( ~ ( r1 @ sK9_SY147 @ SY153 )
| ! [SX6: $i] :
( ~ ( r1 @ SY153 @ SX6 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( p6 @ SX6 )
| ~ ( p5 @ SX6 ) )
| ~ ( p4 @ SX6 ) )
| ~ ( p3 @ SX6 ) )
| ~ ( p2 @ SX6 ) )
| ~ ( p1 @ SX6 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(61,plain,
( ( r1 @ sK6_SY101 @ sK8_SY143 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(62,plain,
( ( ~ ( r1 @ sK8_SY143 @ sK10_SY150 )
| ! [SY155: $i] :
( ~ ( r1 @ sK10_SY150 @ SY155 )
| ! [SX6: $i] :
( ~ ( r1 @ SY155 @ SX6 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( p12 @ SX6 )
| ~ ~ ( p10 @ SX6 ) )
| ~ ~ ( p8 @ SX6 ) )
| ~ ~ ( p6 @ SX6 ) )
| ~ ~ ( p4 @ SX6 ) )
| ~ ~ ( p2 @ SX6 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[55]) ).
thf(63,plain,
! [SV2: $i] :
( ( ( ! [SY106: $i] :
( ~ ( r1 @ SV2 @ SY106 )
| ! [SX3: $i] :
( ~ ( r1 @ SY106 @ SX3 )
| ! [SX4: $i] :
( ~ ( r1 @ SX3 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p5 @ SX8 )
| ~ ~ ( p1 @ SX8 ) )
| ~ ( ~ ( p1 @ SX8 )
| ~ ( p5 @ SX8 ) ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(64,plain,
! [SV2: $i] :
( ( ( ~ ( r1 @ SV2 @ ( sK11_SY113 @ SV2 ) )
| ( p6 @ ( sK11_SY113 @ SV2 ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[57]) ).
thf(65,plain,
! [SV3: $i,SV2: $i] :
( ( ( ~ ( r1 @ SV2 @ SV3 )
| ~ ( ~ ! [SY157: $i] :
( ~ ( r1 @ SV3 @ SY157 )
| ! [SX4: $i] :
( ~ ( r1 @ SY157 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p4 @ SX8 )
| ~ ~ ( p5 @ SX8 ) )
| ~ ( ~ ( p5 @ SX8 )
| ~ ( p4 @ SX8 ) ) ) ) ) ) ) ) )
| ! [SY163: $i] :
( ~ ( r1 @ SV3 @ SY163 )
| ( p5 @ SY163 ) )
| ~ ! [SY164: $i] :
( ~ ( r1 @ SV3 @ SY164 )
| ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY164 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p3 @ SX8 )
| ~ ~ ( p4 @ SX8 ) )
| ~ ( ~ ( p4 @ SX8 )
| ~ ( p3 @ SX8 ) ) ) ) ) ) ) )
| ! [SX4: $i] :
( ~ ( r1 @ SY164 @ SX4 )
| ( p4 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY164 @ SX4 )
| ~ ( ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) ) )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(66,plain,
( ( r1 @ sK7_SY139 @ sK9_SY147 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(67,plain,
( ( ~ ( r1 @ sK9_SY147 @ sK12_SY153 )
| ! [SY181: $i] :
( ~ ( r1 @ sK12_SY153 @ SY181 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( p6 @ SY181 )
| ~ ( p5 @ SY181 ) )
| ~ ( p4 @ SY181 ) )
| ~ ( p3 @ SY181 ) )
| ~ ( p2 @ SY181 ) )
| ~ ( p1 @ SY181 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[60]) ).
thf(68,plain,
( ( ~ ( r1 @ sK8_SY143 @ sK10_SY150 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(69,plain,
( ( ! [SY155: $i] :
( ~ ( r1 @ sK10_SY150 @ SY155 )
| ! [SX6: $i] :
( ~ ( r1 @ SY155 @ SX6 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( p12 @ SX6 )
| ~ ~ ( p10 @ SX6 ) )
| ~ ~ ( p8 @ SX6 ) )
| ~ ~ ( p6 @ SX6 ) )
| ~ ~ ( p4 @ SX6 ) )
| ~ ~ ( p2 @ SX6 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(70,plain,
! [SV4: $i,SV2: $i] :
( ( ( ~ ( r1 @ SV2 @ SV4 )
| ! [SY182: $i] :
( ~ ( r1 @ SV4 @ SY182 )
| ! [SX4: $i] :
( ~ ( r1 @ SY182 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p5 @ SX8 )
| ~ ~ ( p1 @ SX8 ) )
| ~ ( ~ ( p1 @ SX8 )
| ~ ( p5 @ SX8 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(71,plain,
! [SV2: $i] :
( ( ( ~ ( r1 @ SV2 @ ( sK11_SY113 @ SV2 ) ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(72,plain,
! [SV2: $i] :
( ( ( p6 @ ( sK11_SY113 @ SV2 ) )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(73,plain,
! [SV3: $i,SV2: $i] :
( ( ( ~ ( r1 @ SV2 @ SV3 ) )
= $true )
| ( ( ~ ( ~ ! [SY157: $i] :
( ~ ( r1 @ SV3 @ SY157 )
| ! [SX4: $i] :
( ~ ( r1 @ SY157 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p4 @ SX8 )
| ~ ~ ( p5 @ SX8 ) )
| ~ ( ~ ( p5 @ SX8 )
| ~ ( p4 @ SX8 ) ) ) ) ) ) ) ) )
| ! [SY163: $i] :
( ~ ( r1 @ SV3 @ SY163 )
| ( p5 @ SY163 ) )
| ~ ! [SY164: $i] :
( ~ ( r1 @ SV3 @ SY164 )
| ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY164 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p3 @ SX8 )
| ~ ~ ( p4 @ SX8 ) )
| ~ ( ~ ( p4 @ SX8 )
| ~ ( p3 @ SX8 ) ) ) ) ) ) ) )
| ! [SX4: $i] :
( ~ ( r1 @ SY164 @ SX4 )
| ( p4 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY164 @ SX4 )
| ~ ( ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) ) )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(74,plain,
( ( ~ ( r1 @ sK9_SY147 @ sK12_SY153 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[67]) ).
thf(75,plain,
( ( ! [SY181: $i] :
( ~ ( r1 @ sK12_SY153 @ SY181 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( p6 @ SY181 )
| ~ ( p5 @ SY181 ) )
| ~ ( p4 @ SY181 ) )
| ~ ( p3 @ SY181 ) )
| ~ ( p2 @ SY181 ) )
| ~ ( p1 @ SY181 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[67]) ).
thf(76,plain,
( ( r1 @ sK8_SY143 @ sK10_SY150 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(77,plain,
( ( ~ ( r1 @ sK10_SY150 @ sK13_SY155 )
| ! [SY188: $i] :
( ~ ( r1 @ sK13_SY155 @ SY188 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( p12 @ SY188 )
| ~ ~ ( p10 @ SY188 ) )
| ~ ~ ( p8 @ SY188 ) )
| ~ ~ ( p6 @ SY188 ) )
| ~ ~ ( p4 @ SY188 ) )
| ~ ~ ( p2 @ SY188 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[69]) ).
thf(78,plain,
! [SV4: $i,SV2: $i] :
( ( ( ~ ( r1 @ SV2 @ SV4 ) )
= $true )
| ( ( ! [SY182: $i] :
( ~ ( r1 @ SV4 @ SY182 )
| ! [SX4: $i] :
( ~ ( r1 @ SY182 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p5 @ SX8 )
| ~ ~ ( p1 @ SX8 ) )
| ~ ( ~ ( p1 @ SX8 )
| ~ ( p5 @ SX8 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(79,plain,
! [SV2: $i] :
( ( ( r1 @ SV2 @ ( sK11_SY113 @ SV2 ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(80,plain,
! [SV3: $i,SV2: $i] :
( ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( ~ ( ~ ! [SY157: $i] :
( ~ ( r1 @ SV3 @ SY157 )
| ! [SX4: $i] :
( ~ ( r1 @ SY157 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p4 @ SX8 )
| ~ ~ ( p5 @ SX8 ) )
| ~ ( ~ ( p5 @ SX8 )
| ~ ( p4 @ SX8 ) ) ) ) ) ) ) ) )
| ! [SY163: $i] :
( ~ ( r1 @ SV3 @ SY163 )
| ( p5 @ SY163 ) )
| ~ ! [SY164: $i] :
( ~ ( r1 @ SV3 @ SY164 )
| ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY164 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p3 @ SX8 )
| ~ ~ ( p4 @ SX8 ) )
| ~ ( ~ ( p4 @ SX8 )
| ~ ( p3 @ SX8 ) ) ) ) ) ) ) )
| ! [SX4: $i] :
( ~ ( r1 @ SY164 @ SX4 )
| ( p4 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY164 @ SX4 )
| ~ ( ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) ) )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(81,plain,
( ( r1 @ sK9_SY147 @ sK12_SY153 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(82,plain,
( ( ~ ( r1 @ sK12_SY153 @ sK14_SY181 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( p6 @ sK14_SY181 )
| ~ ( p5 @ sK14_SY181 ) )
| ~ ( p4 @ sK14_SY181 ) )
| ~ ( p3 @ sK14_SY181 ) )
| ~ ( p2 @ sK14_SY181 ) )
| ~ ( p1 @ sK14_SY181 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[75]) ).
thf(83,plain,
( ( ~ ( r1 @ sK10_SY150 @ sK13_SY155 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[77]) ).
thf(84,plain,
( ( ! [SY188: $i] :
( ~ ( r1 @ sK13_SY155 @ SY188 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( p12 @ SY188 )
| ~ ~ ( p10 @ SY188 ) )
| ~ ~ ( p8 @ SY188 ) )
| ~ ~ ( p6 @ SY188 ) )
| ~ ~ ( p4 @ SY188 ) )
| ~ ~ ( p2 @ SY188 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[77]) ).
thf(85,plain,
! [SV4: $i,SV2: $i] :
( ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( ! [SY182: $i] :
( ~ ( r1 @ SV4 @ SY182 )
| ! [SX4: $i] :
( ~ ( r1 @ SY182 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p5 @ SX8 )
| ~ ~ ( p1 @ SX8 ) )
| ~ ( ~ ( p1 @ SX8 )
| ~ ( p5 @ SX8 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(86,plain,
! [SV2: $i,SV3: $i] :
( ( ( ~ ! [SY157: $i] :
( ~ ( r1 @ SV3 @ SY157 )
| ! [SX4: $i] :
( ~ ( r1 @ SY157 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p4 @ SX8 )
| ~ ~ ( p5 @ SX8 ) )
| ~ ( ~ ( p5 @ SX8 )
| ~ ( p4 @ SX8 ) ) ) ) ) ) ) ) )
| ! [SY163: $i] :
( ~ ( r1 @ SV3 @ SY163 )
| ( p5 @ SY163 ) )
| ~ ! [SY164: $i] :
( ~ ( r1 @ SV3 @ SY164 )
| ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY164 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p3 @ SX8 )
| ~ ~ ( p4 @ SX8 ) )
| ~ ( ~ ( p4 @ SX8 )
| ~ ( p3 @ SX8 ) ) ) ) ) ) ) )
| ! [SX4: $i] :
( ~ ( r1 @ SY164 @ SX4 )
| ( p4 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY164 @ SX4 )
| ~ ( ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) ) )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(87,plain,
( ( ~ ( r1 @ sK12_SY153 @ sK14_SY181 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[82]) ).
thf(88,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( p6 @ sK14_SY181 )
| ~ ( p5 @ sK14_SY181 ) )
| ~ ( p4 @ sK14_SY181 ) )
| ~ ( p3 @ sK14_SY181 ) )
| ~ ( p2 @ sK14_SY181 ) )
| ~ ( p1 @ sK14_SY181 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[82]) ).
thf(89,plain,
( ( r1 @ sK10_SY150 @ sK13_SY155 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[83]) ).
thf(90,plain,
( ( ~ ( r1 @ sK13_SY155 @ sK15_SY188 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( p12 @ sK15_SY188 )
| ~ ~ ( p10 @ sK15_SY188 ) )
| ~ ~ ( p8 @ sK15_SY188 ) )
| ~ ~ ( p6 @ sK15_SY188 ) )
| ~ ~ ( p4 @ sK15_SY188 ) )
| ~ ~ ( p2 @ sK15_SY188 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[84]) ).
thf(91,plain,
! [SV2: $i,SV5: $i,SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ SV5 )
| ! [SY189: $i] :
( ~ ( r1 @ SV5 @ SY189 )
| ! [SX5: $i] :
( ~ ( r1 @ SY189 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p5 @ SX8 )
| ~ ~ ( p1 @ SX8 ) )
| ~ ( ~ ( p1 @ SX8 )
| ~ ( p5 @ SX8 ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(92,plain,
! [SV2: $i,SV3: $i] :
( ( ( ~ ! [SY157: $i] :
( ~ ( r1 @ SV3 @ SY157 )
| ! [SX4: $i] :
( ~ ( r1 @ SY157 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p4 @ SX8 )
| ~ ~ ( p5 @ SX8 ) )
| ~ ( ~ ( p5 @ SX8 )
| ~ ( p4 @ SX8 ) ) ) ) ) ) ) ) )
| ! [SY163: $i] :
( ~ ( r1 @ SV3 @ SY163 )
| ( p5 @ SY163 ) ) )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(93,plain,
! [SV2: $i,SV3: $i] :
( ( ( ~ ! [SY164: $i] :
( ~ ( r1 @ SV3 @ SY164 )
| ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY164 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p3 @ SX8 )
| ~ ~ ( p4 @ SX8 ) )
| ~ ( ~ ( p4 @ SX8 )
| ~ ( p3 @ SX8 ) ) ) ) ) ) ) )
| ! [SX4: $i] :
( ~ ( r1 @ SY164 @ SX4 )
| ( p4 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY164 @ SX4 )
| ~ ( ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) ) )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(94,plain,
( ( r1 @ sK12_SY153 @ sK14_SY181 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(95,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( p6 @ sK14_SY181 )
| ~ ( p5 @ sK14_SY181 ) )
| ~ ( p4 @ sK14_SY181 ) )
| ~ ( p3 @ sK14_SY181 ) )
| ~ ( p2 @ sK14_SY181 ) )
| ~ ( p1 @ sK14_SY181 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(96,plain,
( ( ~ ( r1 @ sK13_SY155 @ sK15_SY188 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(97,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( p12 @ sK15_SY188 )
| ~ ~ ( p10 @ sK15_SY188 ) )
| ~ ~ ( p8 @ sK15_SY188 ) )
| ~ ~ ( p6 @ sK15_SY188 ) )
| ~ ~ ( p4 @ sK15_SY188 ) )
| ~ ~ ( p2 @ sK15_SY188 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(98,plain,
! [SV2: $i,SV5: $i,SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ SV5 ) )
= $true )
| ( ( ! [SY189: $i] :
( ~ ( r1 @ SV5 @ SY189 )
| ! [SX5: $i] :
( ~ ( r1 @ SY189 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p5 @ SX8 )
| ~ ~ ( p1 @ SX8 ) )
| ~ ( ~ ( p1 @ SX8 )
| ~ ( p5 @ SX8 ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[91]) ).
thf(99,plain,
! [SV2: $i,SV3: $i] :
( ( ( ~ ! [SY157: $i] :
( ~ ( r1 @ SV3 @ SY157 )
| ! [SX4: $i] :
( ~ ( r1 @ SY157 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p4 @ SX8 )
| ~ ~ ( p5 @ SX8 ) )
| ~ ( ~ ( p5 @ SX8 )
| ~ ( p4 @ SX8 ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[92]) ).
thf(100,plain,
! [SV2: $i,SV3: $i] :
( ( ( ! [SY163: $i] :
( ~ ( r1 @ SV3 @ SY163 )
| ( p5 @ SY163 ) ) )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[92]) ).
thf(101,plain,
! [SV2: $i,SV3: $i] :
( ( ( ! [SY164: $i] :
( ~ ( r1 @ SV3 @ SY164 )
| ~ ( ~ ! [SX4: $i] :
( ~ ( r1 @ SY164 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p3 @ SX8 )
| ~ ~ ( p4 @ SX8 ) )
| ~ ( ~ ( p4 @ SX8 )
| ~ ( p3 @ SX8 ) ) ) ) ) ) ) )
| ! [SX4: $i] :
( ~ ( r1 @ SY164 @ SX4 )
| ( p4 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( r1 @ SY164 @ SX4 )
| ~ ( ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) ) )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ~ ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(102,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( p6 @ sK14_SY181 )
| ~ ( p5 @ sK14_SY181 ) )
| ~ ( p4 @ sK14_SY181 ) )
| ~ ( p3 @ sK14_SY181 ) )
| ~ ( p2 @ sK14_SY181 ) ) )
= $true )
| ( ( ~ ( p1 @ sK14_SY181 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(103,plain,
( ( r1 @ sK13_SY155 @ sK15_SY188 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(104,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( p12 @ sK15_SY188 )
| ~ ~ ( p10 @ sK15_SY188 ) )
| ~ ~ ( p8 @ sK15_SY188 ) )
| ~ ~ ( p6 @ sK15_SY188 ) )
| ~ ~ ( p4 @ sK15_SY188 ) )
| ~ ~ ( p2 @ sK15_SY188 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(105,plain,
! [SV2: $i,SV5: $i,SV4: $i] :
( ( ( r1 @ SV4 @ SV5 )
= $false )
| ( ( ! [SY189: $i] :
( ~ ( r1 @ SV5 @ SY189 )
| ! [SX5: $i] :
( ~ ( r1 @ SY189 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p5 @ SX8 )
| ~ ~ ( p1 @ SX8 ) )
| ~ ( ~ ( p1 @ SX8 )
| ~ ( p5 @ SX8 ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(106,plain,
! [SV2: $i,SV3: $i] :
( ( ( ! [SY157: $i] :
( ~ ( r1 @ SV3 @ SY157 )
| ! [SX4: $i] :
( ~ ( r1 @ SY157 @ SX4 )
| ! [SX5: $i] :
( ~ ( r1 @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p4 @ SX8 )
| ~ ~ ( p5 @ SX8 ) )
| ~ ( ~ ( p5 @ SX8 )
| ~ ( p4 @ SX8 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[99]) ).
thf(107,plain,
! [SV2: $i,SV3: $i] :
( ( ( ~ ( r1 @ SV3 @ ( sK16_SY163 @ SV2 @ SV3 ) )
| ( p5 @ ( sK16_SY163 @ SV2 @ SV3 ) ) )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[100]) ).
thf(108,plain,
! [SV2: $i,SV6: $i,SV3: $i] :
( ( ( ~ ( r1 @ SV3 @ SV6 )
| ~ ( ~ ! [SY194: $i] :
( ~ ( r1 @ SV6 @ SY194 )
| ! [SX5: $i] :
( ~ ( r1 @ SY194 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p3 @ SX8 )
| ~ ~ ( p4 @ SX8 ) )
| ~ ( ~ ( p4 @ SX8 )
| ~ ( p3 @ SX8 ) ) ) ) ) ) ) )
| ! [SY199: $i] :
( ~ ( r1 @ SV6 @ SY199 )
| ( p4 @ SY199 ) )
| ~ ! [SY200: $i] :
( ~ ( r1 @ SV6 @ SY200 )
| ~ ( ~ ! [SX5: $i] :
( ~ ( r1 @ SY200 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) ) )
| ! [SX5: $i] :
( ~ ( r1 @ SY200 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SY200 @ SX5 )
| ~ ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(109,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( p6 @ sK14_SY181 )
| ~ ( p5 @ sK14_SY181 ) )
| ~ ( p4 @ sK14_SY181 ) )
| ~ ( p3 @ sK14_SY181 ) )
| ~ ( p2 @ sK14_SY181 ) ) )
= $false )
| ( ( ~ ( p1 @ sK14_SY181 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(110,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( p12 @ sK15_SY188 )
| ~ ~ ( p10 @ sK15_SY188 ) )
| ~ ~ ( p8 @ sK15_SY188 ) )
| ~ ~ ( p6 @ sK15_SY188 ) )
| ~ ~ ( p4 @ sK15_SY188 ) ) )
= $true )
| ( ( ~ ~ ( p2 @ sK15_SY188 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(111,plain,
! [SV2: $i,SV4: $i,SV7: $i,SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ SV7 )
| ! [SY210: $i] :
( ~ ( r1 @ SV7 @ SY210 )
| ! [SX6: $i] :
( ~ ( r1 @ SY210 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p5 @ SX8 )
| ~ ~ ( p1 @ SX8 ) )
| ~ ( ~ ( p1 @ SX8 )
| ~ ( p5 @ SX8 ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV5 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(112,plain,
! [SV2: $i,SV8: $i,SV3: $i] :
( ( ( ~ ( r1 @ SV3 @ SV8 )
| ! [SY214: $i] :
( ~ ( r1 @ SV8 @ SY214 )
| ! [SX5: $i] :
( ~ ( r1 @ SY214 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p4 @ SX8 )
| ~ ~ ( p5 @ SX8 ) )
| ~ ( ~ ( p5 @ SX8 )
| ~ ( p4 @ SX8 ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(113,plain,
! [SV2: $i,SV3: $i] :
( ( ( ~ ( r1 @ SV3 @ ( sK16_SY163 @ SV2 @ SV3 ) ) )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[107]) ).
thf(114,plain,
! [SV3: $i,SV2: $i] :
( ( ( p5 @ ( sK16_SY163 @ SV2 @ SV3 ) )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[107]) ).
thf(115,plain,
! [SV2: $i,SV6: $i,SV3: $i] :
( ( ( ~ ( r1 @ SV3 @ SV6 ) )
= $true )
| ( ( ~ ( ~ ! [SY194: $i] :
( ~ ( r1 @ SV6 @ SY194 )
| ! [SX5: $i] :
( ~ ( r1 @ SY194 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p3 @ SX8 )
| ~ ~ ( p4 @ SX8 ) )
| ~ ( ~ ( p4 @ SX8 )
| ~ ( p3 @ SX8 ) ) ) ) ) ) ) )
| ! [SY199: $i] :
( ~ ( r1 @ SV6 @ SY199 )
| ( p4 @ SY199 ) )
| ~ ! [SY200: $i] :
( ~ ( r1 @ SV6 @ SY200 )
| ~ ( ~ ! [SX5: $i] :
( ~ ( r1 @ SY200 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) ) )
| ! [SX5: $i] :
( ~ ( r1 @ SY200 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SY200 @ SX5 )
| ~ ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(116,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( p6 @ sK14_SY181 )
| ~ ( p5 @ sK14_SY181 ) )
| ~ ( p4 @ sK14_SY181 ) )
| ~ ( p3 @ sK14_SY181 ) )
| ~ ( p2 @ sK14_SY181 ) )
= $true )
| ( ( ~ ( p1 @ sK14_SY181 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[109]) ).
thf(117,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( p12 @ sK15_SY188 )
| ~ ~ ( p10 @ sK15_SY188 ) )
| ~ ~ ( p8 @ sK15_SY188 ) )
| ~ ~ ( p6 @ sK15_SY188 ) )
| ~ ~ ( p4 @ sK15_SY188 ) ) )
= $false )
| ( ( ~ ~ ( p2 @ sK15_SY188 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(118,plain,
! [SV2: $i,SV4: $i,SV7: $i,SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ SV7 ) )
= $true )
| ( ( ! [SY210: $i] :
( ~ ( r1 @ SV7 @ SY210 )
| ! [SX6: $i] :
( ~ ( r1 @ SY210 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p5 @ SX8 )
| ~ ~ ( p1 @ SX8 ) )
| ~ ( ~ ( p1 @ SX8 )
| ~ ( p5 @ SX8 ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV5 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(119,plain,
! [SV2: $i,SV8: $i,SV3: $i] :
( ( ( ~ ( r1 @ SV3 @ SV8 ) )
= $true )
| ( ( ! [SY214: $i] :
( ~ ( r1 @ SV8 @ SY214 )
| ! [SX5: $i] :
( ~ ( r1 @ SY214 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p4 @ SX8 )
| ~ ~ ( p5 @ SX8 ) )
| ~ ( ~ ( p5 @ SX8 )
| ~ ( p4 @ SX8 ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(120,plain,
! [SV2: $i,SV3: $i] :
( ( ( r1 @ SV3 @ ( sK16_SY163 @ SV2 @ SV3 ) )
= $true )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[113]) ).
thf(121,plain,
! [SV2: $i,SV6: $i,SV3: $i] :
( ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( ~ ( ~ ! [SY194: $i] :
( ~ ( r1 @ SV6 @ SY194 )
| ! [SX5: $i] :
( ~ ( r1 @ SY194 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p3 @ SX8 )
| ~ ~ ( p4 @ SX8 ) )
| ~ ( ~ ( p4 @ SX8 )
| ~ ( p3 @ SX8 ) ) ) ) ) ) ) )
| ! [SY199: $i] :
( ~ ( r1 @ SV6 @ SY199 )
| ( p4 @ SY199 ) )
| ~ ! [SY200: $i] :
( ~ ( r1 @ SV6 @ SY200 )
| ~ ( ~ ! [SX5: $i] :
( ~ ( r1 @ SY200 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) ) )
| ! [SX5: $i] :
( ~ ( r1 @ SY200 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SY200 @ SX5 )
| ~ ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(122,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( p6 @ sK14_SY181 )
| ~ ( p5 @ sK14_SY181 ) )
| ~ ( p4 @ sK14_SY181 ) )
| ~ ( p3 @ sK14_SY181 ) ) )
= $true )
| ( ( ~ ( p2 @ sK14_SY181 ) )
= $true )
| ( ( ~ ( p1 @ sK14_SY181 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(123,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( p12 @ sK15_SY188 )
| ~ ~ ( p10 @ sK15_SY188 ) )
| ~ ~ ( p8 @ sK15_SY188 ) )
| ~ ~ ( p6 @ sK15_SY188 ) )
| ~ ~ ( p4 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p2 @ sK15_SY188 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[117]) ).
thf(124,plain,
! [SV2: $i,SV4: $i,SV7: $i,SV5: $i] :
( ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( ! [SY210: $i] :
( ~ ( r1 @ SV7 @ SY210 )
| ! [SX6: $i] :
( ~ ( r1 @ SY210 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p5 @ SX8 )
| ~ ~ ( p1 @ SX8 ) )
| ~ ( ~ ( p1 @ SX8 )
| ~ ( p5 @ SX8 ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV4 @ SV5 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(125,plain,
! [SV2: $i,SV8: $i,SV3: $i] :
( ( ( r1 @ SV3 @ SV8 )
= $false )
| ( ( ! [SY214: $i] :
( ~ ( r1 @ SV8 @ SY214 )
| ! [SX5: $i] :
( ~ ( r1 @ SY214 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p4 @ SX8 )
| ~ ~ ( p5 @ SX8 ) )
| ~ ( ~ ( p5 @ SX8 )
| ~ ( p4 @ SX8 ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(126,plain,
! [SV2: $i,SV3: $i,SV6: $i] :
( ( ( ~ ! [SY194: $i] :
( ~ ( r1 @ SV6 @ SY194 )
| ! [SX5: $i] :
( ~ ( r1 @ SY194 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p3 @ SX8 )
| ~ ~ ( p4 @ SX8 ) )
| ~ ( ~ ( p4 @ SX8 )
| ~ ( p3 @ SX8 ) ) ) ) ) ) ) )
| ! [SY199: $i] :
( ~ ( r1 @ SV6 @ SY199 )
| ( p4 @ SY199 ) )
| ~ ! [SY200: $i] :
( ~ ( r1 @ SV6 @ SY200 )
| ~ ( ~ ! [SX5: $i] :
( ~ ( r1 @ SY200 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) ) )
| ! [SX5: $i] :
( ~ ( r1 @ SY200 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SY200 @ SX5 )
| ~ ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(127,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( p6 @ sK14_SY181 )
| ~ ( p5 @ sK14_SY181 ) )
| ~ ( p4 @ sK14_SY181 ) )
| ~ ( p3 @ sK14_SY181 ) ) )
= $false )
| ( ( ~ ( p2 @ sK14_SY181 ) )
= $true )
| ( ( ~ ( p1 @ sK14_SY181 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(128,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( p12 @ sK15_SY188 )
| ~ ~ ( p10 @ sK15_SY188 ) )
| ~ ~ ( p8 @ sK15_SY188 ) )
| ~ ~ ( p6 @ sK15_SY188 ) ) )
= $true )
| ( ( ~ ~ ( p4 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p2 @ sK15_SY188 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(129,plain,
! [SV2: $i,SV4: $i,SV5: $i,SV9: $i,SV7: $i] :
( ( ( ~ ( r1 @ SV7 @ SV9 )
| ! [SY219: $i] :
( ~ ( r1 @ SV9 @ SY219 )
| ! [SX7: $i] :
( ~ ( r1 @ SY219 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p5 @ SX8 )
| ~ ~ ( p1 @ SX8 ) )
| ~ ( ~ ( p1 @ SX8 )
| ~ ( p5 @ SX8 ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV4 @ SV5 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(130,plain,
! [SV2: $i,SV3: $i,SV10: $i,SV8: $i] :
( ( ( ~ ( r1 @ SV8 @ SV10 )
| ! [SY222: $i] :
( ~ ( r1 @ SV10 @ SY222 )
| ! [SX6: $i] :
( ~ ( r1 @ SY222 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p4 @ SX8 )
| ~ ~ ( p5 @ SX8 ) )
| ~ ( ~ ( p5 @ SX8 )
| ~ ( p4 @ SX8 ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV3 @ SV8 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(131,plain,
! [SV2: $i,SV3: $i,SV6: $i] :
( ( ( ~ ! [SY194: $i] :
( ~ ( r1 @ SV6 @ SY194 )
| ! [SX5: $i] :
( ~ ( r1 @ SY194 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p3 @ SX8 )
| ~ ~ ( p4 @ SX8 ) )
| ~ ( ~ ( p4 @ SX8 )
| ~ ( p3 @ SX8 ) ) ) ) ) ) ) )
| ! [SY199: $i] :
( ~ ( r1 @ SV6 @ SY199 )
| ( p4 @ SY199 ) ) )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[126]) ).
thf(132,plain,
! [SV2: $i,SV3: $i,SV6: $i] :
( ( ( ~ ! [SY200: $i] :
( ~ ( r1 @ SV6 @ SY200 )
| ~ ( ~ ! [SX5: $i] :
( ~ ( r1 @ SY200 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) ) )
| ! [SX5: $i] :
( ~ ( r1 @ SY200 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SY200 @ SX5 )
| ~ ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[126]) ).
thf(133,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( p6 @ sK14_SY181 )
| ~ ( p5 @ sK14_SY181 ) )
| ~ ( p4 @ sK14_SY181 ) )
| ~ ( p3 @ sK14_SY181 ) )
= $true )
| ( ( ~ ( p2 @ sK14_SY181 ) )
= $true )
| ( ( ~ ( p1 @ sK14_SY181 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(134,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( p12 @ sK15_SY188 )
| ~ ~ ( p10 @ sK15_SY188 ) )
| ~ ~ ( p8 @ sK15_SY188 ) )
| ~ ~ ( p6 @ sK15_SY188 ) ) )
= $false )
| ( ( ~ ~ ( p4 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p2 @ sK15_SY188 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(135,plain,
! [SV2: $i,SV4: $i,SV5: $i,SV9: $i,SV7: $i] :
( ( ( ~ ( r1 @ SV7 @ SV9 ) )
= $true )
| ( ( ! [SY219: $i] :
( ~ ( r1 @ SV9 @ SY219 )
| ! [SX7: $i] :
( ~ ( r1 @ SY219 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p5 @ SX8 )
| ~ ~ ( p1 @ SX8 ) )
| ~ ( ~ ( p1 @ SX8 )
| ~ ( p5 @ SX8 ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV4 @ SV5 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(136,plain,
! [SV2: $i,SV3: $i,SV10: $i,SV8: $i] :
( ( ( ~ ( r1 @ SV8 @ SV10 ) )
= $true )
| ( ( ! [SY222: $i] :
( ~ ( r1 @ SV10 @ SY222 )
| ! [SX6: $i] :
( ~ ( r1 @ SY222 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p4 @ SX8 )
| ~ ~ ( p5 @ SX8 ) )
| ~ ( ~ ( p5 @ SX8 )
| ~ ( p4 @ SX8 ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV3 @ SV8 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(137,plain,
! [SV2: $i,SV3: $i,SV6: $i] :
( ( ( ~ ! [SY194: $i] :
( ~ ( r1 @ SV6 @ SY194 )
| ! [SX5: $i] :
( ~ ( r1 @ SY194 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p3 @ SX8 )
| ~ ~ ( p4 @ SX8 ) )
| ~ ( ~ ( p4 @ SX8 )
| ~ ( p3 @ SX8 ) ) ) ) ) ) ) ) )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(138,plain,
! [SV2: $i,SV3: $i,SV6: $i] :
( ( ( ! [SY199: $i] :
( ~ ( r1 @ SV6 @ SY199 )
| ( p4 @ SY199 ) ) )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(139,plain,
! [SV2: $i,SV3: $i,SV6: $i] :
( ( ( ! [SY200: $i] :
( ~ ( r1 @ SV6 @ SY200 )
| ~ ( ~ ! [SX5: $i] :
( ~ ( r1 @ SY200 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) ) )
| ! [SX5: $i] :
( ~ ( r1 @ SY200 @ SX5 )
| ( p3 @ SX5 ) )
| ~ ! [SX5: $i] :
( ~ ( r1 @ SY200 @ SX5 )
| ~ ~ ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[132]) ).
thf(140,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( p6 @ sK14_SY181 )
| ~ ( p5 @ sK14_SY181 ) )
| ~ ( p4 @ sK14_SY181 ) ) )
= $true )
| ( ( ~ ( p3 @ sK14_SY181 ) )
= $true )
| ( ( ~ ( p2 @ sK14_SY181 ) )
= $true )
| ( ( ~ ( p1 @ sK14_SY181 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(141,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( p12 @ sK15_SY188 )
| ~ ~ ( p10 @ sK15_SY188 ) )
| ~ ~ ( p8 @ sK15_SY188 ) )
| ~ ~ ( p6 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p4 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p2 @ sK15_SY188 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[134]) ).
thf(142,plain,
! [SV2: $i,SV4: $i,SV5: $i,SV9: $i,SV7: $i] :
( ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( ! [SY219: $i] :
( ~ ( r1 @ SV9 @ SY219 )
| ! [SX7: $i] :
( ~ ( r1 @ SY219 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p5 @ SX8 )
| ~ ~ ( p1 @ SX8 ) )
| ~ ( ~ ( p1 @ SX8 )
| ~ ( p5 @ SX8 ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV4 @ SV5 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(143,plain,
! [SV2: $i,SV3: $i,SV10: $i,SV8: $i] :
( ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( ! [SY222: $i] :
( ~ ( r1 @ SV10 @ SY222 )
| ! [SX6: $i] :
( ~ ( r1 @ SY222 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p4 @ SX8 )
| ~ ~ ( p5 @ SX8 ) )
| ~ ( ~ ( p5 @ SX8 )
| ~ ( p4 @ SX8 ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV3 @ SV8 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(144,plain,
! [SV2: $i,SV3: $i,SV6: $i] :
( ( ( ! [SY194: $i] :
( ~ ( r1 @ SV6 @ SY194 )
| ! [SX5: $i] :
( ~ ( r1 @ SY194 @ SX5 )
| ! [SX6: $i] :
( ~ ( r1 @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p3 @ SX8 )
| ~ ~ ( p4 @ SX8 ) )
| ~ ( ~ ( p4 @ SX8 )
| ~ ( p3 @ SX8 ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(145,plain,
! [SV3: $i,SV2: $i,SV6: $i] :
( ( ( ~ ( r1 @ SV6 @ ( sK17_SY199 @ SV2 @ SV3 @ SV6 ) )
| ( p4 @ ( sK17_SY199 @ SV2 @ SV3 @ SV6 ) ) )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[138]) ).
thf(146,plain,
! [SV2: $i,SV3: $i,SV11: $i,SV6: $i] :
( ( ( ~ ( r1 @ SV6 @ SV11 )
| ~ ( ~ ! [SY226: $i] :
( ~ ( r1 @ SV11 @ SY226 )
| ! [SX6: $i] :
( ~ ( r1 @ SY226 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) ) )
| ! [SY230: $i] :
( ~ ( r1 @ SV11 @ SY230 )
| ( p3 @ SY230 ) )
| ~ ! [SY231: $i] :
( ~ ( r1 @ SV11 @ SY231 )
| ~ ~ ! [SX6: $i] :
( ~ ( r1 @ SY231 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(147,plain,
( ( ( ~ ( ~ ~ ( ~ ( p6 @ sK14_SY181 )
| ~ ( p5 @ sK14_SY181 ) )
| ~ ( p4 @ sK14_SY181 ) ) )
= $false )
| ( ( ~ ( p3 @ sK14_SY181 ) )
= $true )
| ( ( ~ ( p2 @ sK14_SY181 ) )
= $true )
| ( ( ~ ( p1 @ sK14_SY181 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(148,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( p12 @ sK15_SY188 )
| ~ ~ ( p10 @ sK15_SY188 ) )
| ~ ~ ( p8 @ sK15_SY188 ) ) )
= $true )
| ( ( ~ ~ ( p6 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p4 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p2 @ sK15_SY188 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(149,plain,
! [SV2: $i,SV4: $i,SV5: $i,SV7: $i,SV12: $i,SV9: $i] :
( ( ( ~ ( r1 @ SV9 @ SV12 )
| ! [SY235: $i] :
( ~ ( r1 @ SV12 @ SY235 )
| ! [SX8: $i] :
( ~ ( r1 @ SY235 @ SX8 )
| ~ ( ~ ( ~ ~ ( p5 @ SX8 )
| ~ ~ ( p1 @ SX8 ) )
| ~ ( ~ ( p1 @ SX8 )
| ~ ( p5 @ SX8 ) ) ) ) ) )
= $true )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV4 @ SV5 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(150,plain,
! [SV2: $i,SV3: $i,SV8: $i,SV13: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV13 )
| ! [SY237: $i] :
( ~ ( r1 @ SV13 @ SY237 )
| ! [SX7: $i] :
( ~ ( r1 @ SY237 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p4 @ SX8 )
| ~ ~ ( p5 @ SX8 ) )
| ~ ( ~ ( p5 @ SX8 )
| ~ ( p4 @ SX8 ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( r1 @ SV3 @ SV8 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(151,plain,
! [SV2: $i,SV3: $i,SV14: $i,SV6: $i] :
( ( ( ~ ( r1 @ SV6 @ SV14 )
| ! [SY240: $i] :
( ~ ( r1 @ SV14 @ SY240 )
| ! [SX6: $i] :
( ~ ( r1 @ SY240 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p3 @ SX8 )
| ~ ~ ( p4 @ SX8 ) )
| ~ ( ~ ( p4 @ SX8 )
| ~ ( p3 @ SX8 ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(152,plain,
! [SV3: $i,SV2: $i,SV6: $i] :
( ( ( ~ ( r1 @ SV6 @ ( sK17_SY199 @ SV2 @ SV3 @ SV6 ) ) )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[145]) ).
thf(153,plain,
! [SV6: $i,SV3: $i,SV2: $i] :
( ( ( p4 @ ( sK17_SY199 @ SV2 @ SV3 @ SV6 ) )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[145]) ).
thf(154,plain,
! [SV2: $i,SV3: $i,SV11: $i,SV6: $i] :
( ( ( ~ ( r1 @ SV6 @ SV11 ) )
= $true )
| ( ( ~ ( ~ ! [SY226: $i] :
( ~ ( r1 @ SV11 @ SY226 )
| ! [SX6: $i] :
( ~ ( r1 @ SY226 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) ) )
| ! [SY230: $i] :
( ~ ( r1 @ SV11 @ SY230 )
| ( p3 @ SY230 ) )
| ~ ! [SY231: $i] :
( ~ ( r1 @ SV11 @ SY231 )
| ~ ~ ! [SX6: $i] :
( ~ ( r1 @ SY231 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(155,plain,
( ( ( ~ ~ ( ~ ( p6 @ sK14_SY181 )
| ~ ( p5 @ sK14_SY181 ) )
| ~ ( p4 @ sK14_SY181 ) )
= $true )
| ( ( ~ ( p3 @ sK14_SY181 ) )
= $true )
| ( ( ~ ( p2 @ sK14_SY181 ) )
= $true )
| ( ( ~ ( p1 @ sK14_SY181 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[147]) ).
thf(156,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( p12 @ sK15_SY188 )
| ~ ~ ( p10 @ sK15_SY188 ) )
| ~ ~ ( p8 @ sK15_SY188 ) ) )
= $false )
| ( ( ~ ~ ( p6 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p4 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p2 @ sK15_SY188 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(157,plain,
! [SV2: $i,SV4: $i,SV5: $i,SV7: $i,SV12: $i,SV9: $i] :
( ( ( ~ ( r1 @ SV9 @ SV12 ) )
= $true )
| ( ( ! [SY235: $i] :
( ~ ( r1 @ SV12 @ SY235 )
| ! [SX8: $i] :
( ~ ( r1 @ SY235 @ SX8 )
| ~ ( ~ ( ~ ~ ( p5 @ SX8 )
| ~ ~ ( p1 @ SX8 ) )
| ~ ( ~ ( p1 @ SX8 )
| ~ ( p5 @ SX8 ) ) ) ) ) )
= $true )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV4 @ SV5 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(158,plain,
! [SV2: $i,SV3: $i,SV8: $i,SV13: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV13 ) )
= $true )
| ( ( ! [SY237: $i] :
( ~ ( r1 @ SV13 @ SY237 )
| ! [SX7: $i] :
( ~ ( r1 @ SY237 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p4 @ SX8 )
| ~ ~ ( p5 @ SX8 ) )
| ~ ( ~ ( p5 @ SX8 )
| ~ ( p4 @ SX8 ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( r1 @ SV3 @ SV8 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(159,plain,
! [SV2: $i,SV3: $i,SV14: $i,SV6: $i] :
( ( ( ~ ( r1 @ SV6 @ SV14 ) )
= $true )
| ( ( ! [SY240: $i] :
( ~ ( r1 @ SV14 @ SY240 )
| ! [SX6: $i] :
( ~ ( r1 @ SY240 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p3 @ SX8 )
| ~ ~ ( p4 @ SX8 ) )
| ~ ( ~ ( p4 @ SX8 )
| ~ ( p3 @ SX8 ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(160,plain,
! [SV3: $i,SV2: $i,SV6: $i] :
( ( ( r1 @ SV6 @ ( sK17_SY199 @ SV2 @ SV3 @ SV6 ) )
= $true )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[152]) ).
thf(161,plain,
! [SV2: $i,SV3: $i,SV11: $i,SV6: $i] :
( ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( ~ ( ~ ! [SY226: $i] :
( ~ ( r1 @ SV11 @ SY226 )
| ! [SX6: $i] :
( ~ ( r1 @ SY226 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) ) )
| ! [SY230: $i] :
( ~ ( r1 @ SV11 @ SY230 )
| ( p3 @ SY230 ) )
| ~ ! [SY231: $i] :
( ~ ( r1 @ SV11 @ SY231 )
| ~ ~ ! [SX6: $i] :
( ~ ( r1 @ SY231 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(162,plain,
( ( ( ~ ~ ( ~ ( p6 @ sK14_SY181 )
| ~ ( p5 @ sK14_SY181 ) ) )
= $true )
| ( ( ~ ( p4 @ sK14_SY181 ) )
= $true )
| ( ( ~ ( p3 @ sK14_SY181 ) )
= $true )
| ( ( ~ ( p2 @ sK14_SY181 ) )
= $true )
| ( ( ~ ( p1 @ sK14_SY181 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(163,plain,
( ( ( ~ ~ ( ~ ~ ( p12 @ sK15_SY188 )
| ~ ~ ( p10 @ sK15_SY188 ) )
| ~ ~ ( p8 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p6 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p4 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p2 @ sK15_SY188 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[156]) ).
thf(164,plain,
! [SV2: $i,SV4: $i,SV5: $i,SV7: $i,SV12: $i,SV9: $i] :
( ( ( r1 @ SV9 @ SV12 )
= $false )
| ( ( ! [SY235: $i] :
( ~ ( r1 @ SV12 @ SY235 )
| ! [SX8: $i] :
( ~ ( r1 @ SY235 @ SX8 )
| ~ ( ~ ( ~ ~ ( p5 @ SX8 )
| ~ ~ ( p1 @ SX8 ) )
| ~ ( ~ ( p1 @ SX8 )
| ~ ( p5 @ SX8 ) ) ) ) ) )
= $true )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV4 @ SV5 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(165,plain,
! [SV2: $i,SV3: $i,SV8: $i,SV13: $i,SV10: $i] :
( ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( ! [SY237: $i] :
( ~ ( r1 @ SV13 @ SY237 )
| ! [SX7: $i] :
( ~ ( r1 @ SY237 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p4 @ SX8 )
| ~ ~ ( p5 @ SX8 ) )
| ~ ( ~ ( p5 @ SX8 )
| ~ ( p4 @ SX8 ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( r1 @ SV3 @ SV8 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(166,plain,
! [SV2: $i,SV3: $i,SV14: $i,SV6: $i] :
( ( ( r1 @ SV6 @ SV14 )
= $false )
| ( ( ! [SY240: $i] :
( ~ ( r1 @ SV14 @ SY240 )
| ! [SX6: $i] :
( ~ ( r1 @ SY240 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p3 @ SX8 )
| ~ ~ ( p4 @ SX8 ) )
| ~ ( ~ ( p4 @ SX8 )
| ~ ( p3 @ SX8 ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(167,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i] :
( ( ( ~ ! [SY226: $i] :
( ~ ( r1 @ SV11 @ SY226 )
| ! [SX6: $i] :
( ~ ( r1 @ SY226 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) ) )
| ! [SY230: $i] :
( ~ ( r1 @ SV11 @ SY230 )
| ( p3 @ SY230 ) )
| ~ ! [SY231: $i] :
( ~ ( r1 @ SV11 @ SY231 )
| ~ ~ ! [SX6: $i] :
( ~ ( r1 @ SY231 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) ) ) )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(168,plain,
( ( ( ~ ( ~ ( p6 @ sK14_SY181 )
| ~ ( p5 @ sK14_SY181 ) ) )
= $false )
| ( ( ~ ( p4 @ sK14_SY181 ) )
= $true )
| ( ( ~ ( p3 @ sK14_SY181 ) )
= $true )
| ( ( ~ ( p2 @ sK14_SY181 ) )
= $true )
| ( ( ~ ( p1 @ sK14_SY181 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(169,plain,
( ( ( ~ ~ ( ~ ~ ( p12 @ sK15_SY188 )
| ~ ~ ( p10 @ sK15_SY188 ) ) )
= $true )
| ( ( ~ ~ ( p8 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p6 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p4 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p2 @ sK15_SY188 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(170,plain,
! [SV2: $i,SV4: $i,SV5: $i,SV7: $i,SV9: $i,SV15: $i,SV12: $i] :
( ( ( ~ ( r1 @ SV12 @ SV15 )
| ! [SY244: $i] :
( ~ ( r1 @ SV15 @ SY244 )
| ~ ( ~ ( ~ ~ ( p5 @ SY244 )
| ~ ~ ( p1 @ SY244 ) )
| ~ ( ~ ( p1 @ SY244 )
| ~ ( p5 @ SY244 ) ) ) ) )
= $true )
| ( ( r1 @ SV9 @ SV12 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV4 @ SV5 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(171,plain,
! [SV2: $i,SV3: $i,SV8: $i,SV10: $i,SV16: $i,SV13: $i] :
( ( ( ~ ( r1 @ SV13 @ SV16 )
| ! [SY245: $i] :
( ~ ( r1 @ SV16 @ SY245 )
| ! [SX8: $i] :
( ~ ( r1 @ SY245 @ SX8 )
| ~ ( ~ ( ~ ~ ( p4 @ SX8 )
| ~ ~ ( p5 @ SX8 ) )
| ~ ( ~ ( p5 @ SX8 )
| ~ ( p4 @ SX8 ) ) ) ) ) )
= $true )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( r1 @ SV3 @ SV8 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(172,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV17: $i,SV14: $i] :
( ( ( ~ ( r1 @ SV14 @ SV17 )
| ! [SY247: $i] :
( ~ ( r1 @ SV17 @ SY247 )
| ! [SX7: $i] :
( ~ ( r1 @ SY247 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p3 @ SX8 )
| ~ ~ ( p4 @ SX8 ) )
| ~ ( ~ ( p4 @ SX8 )
| ~ ( p3 @ SX8 ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV6 @ SV14 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(173,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i] :
( ( ( ~ ! [SY226: $i] :
( ~ ( r1 @ SV11 @ SY226 )
| ! [SX6: $i] :
( ~ ( r1 @ SY226 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) ) )
| ! [SY230: $i] :
( ~ ( r1 @ SV11 @ SY230 )
| ( p3 @ SY230 ) ) )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[167]) ).
thf(174,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i] :
( ( ( ~ ! [SY231: $i] :
( ~ ( r1 @ SV11 @ SY231 )
| ~ ~ ! [SX6: $i] :
( ~ ( r1 @ SY231 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) ) ) )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[167]) ).
thf(175,plain,
( ( ( ~ ( p6 @ sK14_SY181 )
| ~ ( p5 @ sK14_SY181 ) )
= $true )
| ( ( ~ ( p4 @ sK14_SY181 ) )
= $true )
| ( ( ~ ( p3 @ sK14_SY181 ) )
= $true )
| ( ( ~ ( p2 @ sK14_SY181 ) )
= $true )
| ( ( ~ ( p1 @ sK14_SY181 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[168]) ).
thf(176,plain,
( ( ( ~ ( ~ ~ ( p12 @ sK15_SY188 )
| ~ ~ ( p10 @ sK15_SY188 ) ) )
= $false )
| ( ( ~ ~ ( p8 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p6 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p4 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p2 @ sK15_SY188 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(177,plain,
! [SV2: $i,SV4: $i,SV5: $i,SV7: $i,SV9: $i,SV15: $i,SV12: $i] :
( ( ( ~ ( r1 @ SV12 @ SV15 ) )
= $true )
| ( ( ! [SY244: $i] :
( ~ ( r1 @ SV15 @ SY244 )
| ~ ( ~ ( ~ ~ ( p5 @ SY244 )
| ~ ~ ( p1 @ SY244 ) )
| ~ ( ~ ( p1 @ SY244 )
| ~ ( p5 @ SY244 ) ) ) ) )
= $true )
| ( ( r1 @ SV9 @ SV12 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV4 @ SV5 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(178,plain,
! [SV2: $i,SV3: $i,SV8: $i,SV10: $i,SV16: $i,SV13: $i] :
( ( ( ~ ( r1 @ SV13 @ SV16 ) )
= $true )
| ( ( ! [SY245: $i] :
( ~ ( r1 @ SV16 @ SY245 )
| ! [SX8: $i] :
( ~ ( r1 @ SY245 @ SX8 )
| ~ ( ~ ( ~ ~ ( p4 @ SX8 )
| ~ ~ ( p5 @ SX8 ) )
| ~ ( ~ ( p5 @ SX8 )
| ~ ( p4 @ SX8 ) ) ) ) ) )
= $true )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( r1 @ SV3 @ SV8 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(179,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV17: $i,SV14: $i] :
( ( ( ~ ( r1 @ SV14 @ SV17 ) )
= $true )
| ( ( ! [SY247: $i] :
( ~ ( r1 @ SV17 @ SY247 )
| ! [SX7: $i] :
( ~ ( r1 @ SY247 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p3 @ SX8 )
| ~ ~ ( p4 @ SX8 ) )
| ~ ( ~ ( p4 @ SX8 )
| ~ ( p3 @ SX8 ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV6 @ SV14 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[172]) ).
thf(180,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i] :
( ( ( ~ ! [SY226: $i] :
( ~ ( r1 @ SV11 @ SY226 )
| ! [SX6: $i] :
( ~ ( r1 @ SY226 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) ) ) )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[173]) ).
thf(181,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i] :
( ( ( ! [SY230: $i] :
( ~ ( r1 @ SV11 @ SY230 )
| ( p3 @ SY230 ) ) )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[173]) ).
thf(182,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i] :
( ( ( ! [SY231: $i] :
( ~ ( r1 @ SV11 @ SY231 )
| ~ ~ ! [SX6: $i] :
( ~ ( r1 @ SY231 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(183,plain,
( ( ( ~ ( p6 @ sK14_SY181 ) )
= $true )
| ( ( ~ ( p5 @ sK14_SY181 ) )
= $true )
| ( ( ~ ( p4 @ sK14_SY181 ) )
= $true )
| ( ( ~ ( p3 @ sK14_SY181 ) )
= $true )
| ( ( ~ ( p2 @ sK14_SY181 ) )
= $true )
| ( ( ~ ( p1 @ sK14_SY181 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[175]) ).
thf(184,plain,
( ( ( ~ ~ ( p12 @ sK15_SY188 )
| ~ ~ ( p10 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p8 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p6 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p4 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p2 @ sK15_SY188 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[176]) ).
thf(185,plain,
! [SV2: $i,SV4: $i,SV5: $i,SV7: $i,SV9: $i,SV15: $i,SV12: $i] :
( ( ( r1 @ SV12 @ SV15 )
= $false )
| ( ( ! [SY244: $i] :
( ~ ( r1 @ SV15 @ SY244 )
| ~ ( ~ ( ~ ~ ( p5 @ SY244 )
| ~ ~ ( p1 @ SY244 ) )
| ~ ( ~ ( p1 @ SY244 )
| ~ ( p5 @ SY244 ) ) ) ) )
= $true )
| ( ( r1 @ SV9 @ SV12 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV4 @ SV5 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(186,plain,
! [SV2: $i,SV3: $i,SV8: $i,SV10: $i,SV16: $i,SV13: $i] :
( ( ( r1 @ SV13 @ SV16 )
= $false )
| ( ( ! [SY245: $i] :
( ~ ( r1 @ SV16 @ SY245 )
| ! [SX8: $i] :
( ~ ( r1 @ SY245 @ SX8 )
| ~ ( ~ ( ~ ~ ( p4 @ SX8 )
| ~ ~ ( p5 @ SX8 ) )
| ~ ( ~ ( p5 @ SX8 )
| ~ ( p4 @ SX8 ) ) ) ) ) )
= $true )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( r1 @ SV3 @ SV8 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(187,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV17: $i,SV14: $i] :
( ( ( r1 @ SV14 @ SV17 )
= $false )
| ( ( ! [SY247: $i] :
( ~ ( r1 @ SV17 @ SY247 )
| ! [SX7: $i] :
( ~ ( r1 @ SY247 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p3 @ SX8 )
| ~ ~ ( p4 @ SX8 ) )
| ~ ( ~ ( p4 @ SX8 )
| ~ ( p3 @ SX8 ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV6 @ SV14 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(188,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i] :
( ( ( ! [SY226: $i] :
( ~ ( r1 @ SV11 @ SY226 )
| ! [SX6: $i] :
( ~ ( r1 @ SY226 @ SX6 )
| ! [SX7: $i] :
( ~ ( r1 @ SX6 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[180]) ).
thf(189,plain,
! [SV6: $i,SV3: $i,SV2: $i,SV11: $i] :
( ( ( ~ ( r1 @ SV11 @ ( sK18_SY230 @ SV2 @ SV3 @ SV6 @ SV11 ) )
| ( p3 @ ( sK18_SY230 @ SV2 @ SV3 @ SV6 @ SV11 ) ) )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[181]) ).
thf(190,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV18: $i,SV11: $i] :
( ( ( ~ ( r1 @ SV11 @ SV18 )
| ~ ~ ! [SY250: $i] :
( ~ ( r1 @ SV18 @ SY250 )
| ! [SX7: $i] :
( ~ ( r1 @ SY250 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(191,plain,
( ( ( p6 @ sK14_SY181 )
= $false )
| ( ( ~ ( p5 @ sK14_SY181 ) )
= $true )
| ( ( ~ ( p4 @ sK14_SY181 ) )
= $true )
| ( ( ~ ( p3 @ sK14_SY181 ) )
= $true )
| ( ( ~ ( p2 @ sK14_SY181 ) )
= $true )
| ( ( ~ ( p1 @ sK14_SY181 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(192,plain,
( ( ( ~ ~ ( p12 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p10 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p8 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p6 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p4 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p2 @ sK15_SY188 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[184]) ).
thf(193,plain,
! [SV2: $i,SV4: $i,SV5: $i,SV7: $i,SV9: $i,SV12: $i,SV19: $i,SV15: $i] :
( ( ( ~ ( r1 @ SV15 @ SV19 )
| ~ ( ~ ( ~ ~ ( p5 @ SV19 )
| ~ ~ ( p1 @ SV19 ) )
| ~ ( ~ ( p1 @ SV19 )
| ~ ( p5 @ SV19 ) ) ) )
= $true )
| ( ( r1 @ SV12 @ SV15 )
= $false )
| ( ( r1 @ SV9 @ SV12 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV4 @ SV5 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(194,plain,
! [SV2: $i,SV3: $i,SV8: $i,SV10: $i,SV13: $i,SV20: $i,SV16: $i] :
( ( ( ~ ( r1 @ SV16 @ SV20 )
| ! [SY253: $i] :
( ~ ( r1 @ SV20 @ SY253 )
| ~ ( ~ ( ~ ~ ( p4 @ SY253 )
| ~ ~ ( p5 @ SY253 ) )
| ~ ( ~ ( p5 @ SY253 )
| ~ ( p4 @ SY253 ) ) ) ) )
= $true )
| ( ( r1 @ SV13 @ SV16 )
= $false )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( r1 @ SV3 @ SV8 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(195,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV14: $i,SV21: $i,SV17: $i] :
( ( ( ~ ( r1 @ SV17 @ SV21 )
| ! [SY254: $i] :
( ~ ( r1 @ SV21 @ SY254 )
| ! [SX8: $i] :
( ~ ( r1 @ SY254 @ SX8 )
| ~ ( ~ ( ~ ~ ( p3 @ SX8 )
| ~ ~ ( p4 @ SX8 ) )
| ~ ( ~ ( p4 @ SX8 )
| ~ ( p3 @ SX8 ) ) ) ) ) )
= $true )
| ( ( r1 @ SV14 @ SV17 )
= $false )
| ( ( r1 @ SV6 @ SV14 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(196,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV22: $i,SV11: $i] :
( ( ( ~ ( r1 @ SV11 @ SV22 )
| ! [SY256: $i] :
( ~ ( r1 @ SV22 @ SY256 )
| ! [SX7: $i] :
( ~ ( r1 @ SY256 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(197,plain,
! [SV6: $i,SV3: $i,SV2: $i,SV11: $i] :
( ( ( ~ ( r1 @ SV11 @ ( sK18_SY230 @ SV2 @ SV3 @ SV6 @ SV11 ) ) )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[189]) ).
thf(198,plain,
! [SV11: $i,SV6: $i,SV3: $i,SV2: $i] :
( ( ( p3 @ ( sK18_SY230 @ SV2 @ SV3 @ SV6 @ SV11 ) )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[189]) ).
thf(199,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV18: $i,SV11: $i] :
( ( ( ~ ( r1 @ SV11 @ SV18 ) )
= $true )
| ( ( ~ ~ ! [SY250: $i] :
( ~ ( r1 @ SV18 @ SY250 )
| ! [SX7: $i] :
( ~ ( r1 @ SY250 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[190]) ).
thf(200,plain,
( ( ( p5 @ sK14_SY181 )
= $false )
| ( ( p6 @ sK14_SY181 )
= $false )
| ( ( ~ ( p4 @ sK14_SY181 ) )
= $true )
| ( ( ~ ( p3 @ sK14_SY181 ) )
= $true )
| ( ( ~ ( p2 @ sK14_SY181 ) )
= $true )
| ( ( ~ ( p1 @ sK14_SY181 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(201,plain,
( ( ( ~ ( p12 @ sK15_SY188 ) )
= $false )
| ( ( ~ ~ ( p10 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p8 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p6 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p4 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p2 @ sK15_SY188 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(202,plain,
! [SV2: $i,SV4: $i,SV5: $i,SV7: $i,SV9: $i,SV12: $i,SV19: $i,SV15: $i] :
( ( ( ~ ( r1 @ SV15 @ SV19 ) )
= $true )
| ( ( ~ ( ~ ( ~ ~ ( p5 @ SV19 )
| ~ ~ ( p1 @ SV19 ) )
| ~ ( ~ ( p1 @ SV19 )
| ~ ( p5 @ SV19 ) ) ) )
= $true )
| ( ( r1 @ SV12 @ SV15 )
= $false )
| ( ( r1 @ SV9 @ SV12 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV4 @ SV5 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[193]) ).
thf(203,plain,
! [SV2: $i,SV3: $i,SV8: $i,SV10: $i,SV13: $i,SV20: $i,SV16: $i] :
( ( ( ~ ( r1 @ SV16 @ SV20 ) )
= $true )
| ( ( ! [SY253: $i] :
( ~ ( r1 @ SV20 @ SY253 )
| ~ ( ~ ( ~ ~ ( p4 @ SY253 )
| ~ ~ ( p5 @ SY253 ) )
| ~ ( ~ ( p5 @ SY253 )
| ~ ( p4 @ SY253 ) ) ) ) )
= $true )
| ( ( r1 @ SV13 @ SV16 )
= $false )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( r1 @ SV3 @ SV8 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(204,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV14: $i,SV21: $i,SV17: $i] :
( ( ( ~ ( r1 @ SV17 @ SV21 ) )
= $true )
| ( ( ! [SY254: $i] :
( ~ ( r1 @ SV21 @ SY254 )
| ! [SX8: $i] :
( ~ ( r1 @ SY254 @ SX8 )
| ~ ( ~ ( ~ ~ ( p3 @ SX8 )
| ~ ~ ( p4 @ SX8 ) )
| ~ ( ~ ( p4 @ SX8 )
| ~ ( p3 @ SX8 ) ) ) ) ) )
= $true )
| ( ( r1 @ SV14 @ SV17 )
= $false )
| ( ( r1 @ SV6 @ SV14 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[195]) ).
thf(205,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV22: $i,SV11: $i] :
( ( ( ~ ( r1 @ SV11 @ SV22 ) )
= $true )
| ( ( ! [SY256: $i] :
( ~ ( r1 @ SV22 @ SY256 )
| ! [SX7: $i] :
( ~ ( r1 @ SY256 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[196]) ).
thf(206,plain,
! [SV6: $i,SV3: $i,SV2: $i,SV11: $i] :
( ( ( r1 @ SV11 @ ( sK18_SY230 @ SV2 @ SV3 @ SV6 @ SV11 ) )
= $true )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[197]) ).
thf(207,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV18: $i,SV11: $i] :
( ( ( r1 @ SV11 @ SV18 )
= $false )
| ( ( ~ ~ ! [SY250: $i] :
( ~ ( r1 @ SV18 @ SY250 )
| ! [SX7: $i] :
( ~ ( r1 @ SY250 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(208,plain,
( ( ( p4 @ sK14_SY181 )
= $false )
| ( ( p6 @ sK14_SY181 )
= $false )
| ( ( p5 @ sK14_SY181 )
= $false )
| ( ( ~ ( p3 @ sK14_SY181 ) )
= $true )
| ( ( ~ ( p2 @ sK14_SY181 ) )
= $true )
| ( ( ~ ( p1 @ sK14_SY181 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(209,plain,
( ( ( p12 @ sK15_SY188 )
= $true )
| ( ( ~ ~ ( p10 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p8 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p6 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p4 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p2 @ sK15_SY188 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[201]) ).
thf(210,plain,
! [SV2: $i,SV4: $i,SV5: $i,SV7: $i,SV9: $i,SV12: $i,SV19: $i,SV15: $i] :
( ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( ~ ( ~ ( ~ ~ ( p5 @ SV19 )
| ~ ~ ( p1 @ SV19 ) )
| ~ ( ~ ( p1 @ SV19 )
| ~ ( p5 @ SV19 ) ) ) )
= $true )
| ( ( r1 @ SV12 @ SV15 )
= $false )
| ( ( r1 @ SV9 @ SV12 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV4 @ SV5 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(211,plain,
! [SV2: $i,SV3: $i,SV8: $i,SV10: $i,SV13: $i,SV20: $i,SV16: $i] :
( ( ( r1 @ SV16 @ SV20 )
= $false )
| ( ( ! [SY253: $i] :
( ~ ( r1 @ SV20 @ SY253 )
| ~ ( ~ ( ~ ~ ( p4 @ SY253 )
| ~ ~ ( p5 @ SY253 ) )
| ~ ( ~ ( p5 @ SY253 )
| ~ ( p4 @ SY253 ) ) ) ) )
= $true )
| ( ( r1 @ SV13 @ SV16 )
= $false )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( r1 @ SV3 @ SV8 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(212,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV14: $i,SV21: $i,SV17: $i] :
( ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( ! [SY254: $i] :
( ~ ( r1 @ SV21 @ SY254 )
| ! [SX8: $i] :
( ~ ( r1 @ SY254 @ SX8 )
| ~ ( ~ ( ~ ~ ( p3 @ SX8 )
| ~ ~ ( p4 @ SX8 ) )
| ~ ( ~ ( p4 @ SX8 )
| ~ ( p3 @ SX8 ) ) ) ) ) )
= $true )
| ( ( r1 @ SV14 @ SV17 )
= $false )
| ( ( r1 @ SV6 @ SV14 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(213,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV22: $i,SV11: $i] :
( ( ( r1 @ SV11 @ SV22 )
= $false )
| ( ( ! [SY256: $i] :
( ~ ( r1 @ SV22 @ SY256 )
| ! [SX7: $i] :
( ~ ( r1 @ SY256 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(214,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV18: $i] :
( ( ( ~ ! [SY250: $i] :
( ~ ( r1 @ SV18 @ SY250 )
| ! [SX7: $i] :
( ~ ( r1 @ SY250 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) ) )
= $false )
| ( ( r1 @ SV11 @ SV18 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(215,plain,
( ( ( p3 @ sK14_SY181 )
= $false )
| ( ( p5 @ sK14_SY181 )
= $false )
| ( ( p6 @ sK14_SY181 )
= $false )
| ( ( p4 @ sK14_SY181 )
= $false )
| ( ( ~ ( p2 @ sK14_SY181 ) )
= $true )
| ( ( ~ ( p1 @ sK14_SY181 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(216,plain,
( ( ( ~ ( p10 @ sK15_SY188 ) )
= $false )
| ( ( p12 @ sK15_SY188 )
= $true )
| ( ( ~ ~ ( p8 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p6 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p4 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p2 @ sK15_SY188 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(217,plain,
! [SV2: $i,SV4: $i,SV5: $i,SV7: $i,SV9: $i,SV12: $i,SV15: $i,SV19: $i] :
( ( ( ~ ( ~ ~ ( p5 @ SV19 )
| ~ ~ ( p1 @ SV19 ) )
| ~ ( ~ ( p1 @ SV19 )
| ~ ( p5 @ SV19 ) ) )
= $false )
| ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( r1 @ SV12 @ SV15 )
= $false )
| ( ( r1 @ SV9 @ SV12 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV4 @ SV5 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(218,plain,
! [SV2: $i,SV3: $i,SV8: $i,SV10: $i,SV13: $i,SV16: $i,SV23: $i,SV20: $i] :
( ( ( ~ ( r1 @ SV20 @ SV23 )
| ~ ( ~ ( ~ ~ ( p4 @ SV23 )
| ~ ~ ( p5 @ SV23 ) )
| ~ ( ~ ( p5 @ SV23 )
| ~ ( p4 @ SV23 ) ) ) )
= $true )
| ( ( r1 @ SV16 @ SV20 )
= $false )
| ( ( r1 @ SV13 @ SV16 )
= $false )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( r1 @ SV3 @ SV8 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(219,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV14: $i,SV17: $i,SV24: $i,SV21: $i] :
( ( ( ~ ( r1 @ SV21 @ SV24 )
| ! [SY259: $i] :
( ~ ( r1 @ SV24 @ SY259 )
| ~ ( ~ ( ~ ~ ( p3 @ SY259 )
| ~ ~ ( p4 @ SY259 ) )
| ~ ( ~ ( p4 @ SY259 )
| ~ ( p3 @ SY259 ) ) ) ) )
= $true )
| ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( r1 @ SV14 @ SV17 )
= $false )
| ( ( r1 @ SV6 @ SV14 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(220,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV25: $i,SV22: $i] :
( ( ( ~ ( r1 @ SV22 @ SV25 )
| ! [SY260: $i] :
( ~ ( r1 @ SV25 @ SY260 )
| ! [SX8: $i] :
( ~ ( r1 @ SY260 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) )
= $true )
| ( ( r1 @ SV11 @ SV22 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[213]) ).
thf(221,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV18: $i] :
( ( ( ! [SY250: $i] :
( ~ ( r1 @ SV18 @ SY250 )
| ! [SX7: $i] :
( ~ ( r1 @ SY250 @ SX7 )
| ! [SX8: $i] :
( ~ ( r1 @ SX7 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) ) )
= $true )
| ( ( r1 @ SV11 @ SV18 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[214]) ).
thf(222,plain,
( ( ( p2 @ sK14_SY181 )
= $false )
| ( ( p4 @ sK14_SY181 )
= $false )
| ( ( p6 @ sK14_SY181 )
= $false )
| ( ( p5 @ sK14_SY181 )
= $false )
| ( ( p3 @ sK14_SY181 )
= $false )
| ( ( ~ ( p1 @ sK14_SY181 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(223,plain,
( ( ( p10 @ sK15_SY188 )
= $true )
| ( ( p12 @ sK15_SY188 )
= $true )
| ( ( ~ ~ ( p8 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p6 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p4 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p2 @ sK15_SY188 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[216]) ).
thf(224,plain,
! [SV2: $i,SV4: $i,SV5: $i,SV7: $i,SV9: $i,SV12: $i,SV15: $i,SV19: $i] :
( ( ( ~ ( ~ ~ ( p5 @ SV19 )
| ~ ~ ( p1 @ SV19 ) ) )
= $false )
| ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( r1 @ SV12 @ SV15 )
= $false )
| ( ( r1 @ SV9 @ SV12 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV4 @ SV5 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[217]) ).
thf(225,plain,
! [SV2: $i,SV4: $i,SV5: $i,SV7: $i,SV9: $i,SV12: $i,SV15: $i,SV19: $i] :
( ( ( ~ ( ~ ( p1 @ SV19 )
| ~ ( p5 @ SV19 ) ) )
= $false )
| ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( r1 @ SV12 @ SV15 )
= $false )
| ( ( r1 @ SV9 @ SV12 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV4 @ SV5 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[217]) ).
thf(226,plain,
! [SV2: $i,SV3: $i,SV8: $i,SV10: $i,SV13: $i,SV16: $i,SV23: $i,SV20: $i] :
( ( ( ~ ( r1 @ SV20 @ SV23 ) )
= $true )
| ( ( ~ ( ~ ( ~ ~ ( p4 @ SV23 )
| ~ ~ ( p5 @ SV23 ) )
| ~ ( ~ ( p5 @ SV23 )
| ~ ( p4 @ SV23 ) ) ) )
= $true )
| ( ( r1 @ SV16 @ SV20 )
= $false )
| ( ( r1 @ SV13 @ SV16 )
= $false )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( r1 @ SV3 @ SV8 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[218]) ).
thf(227,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV14: $i,SV17: $i,SV24: $i,SV21: $i] :
( ( ( ~ ( r1 @ SV21 @ SV24 ) )
= $true )
| ( ( ! [SY259: $i] :
( ~ ( r1 @ SV24 @ SY259 )
| ~ ( ~ ( ~ ~ ( p3 @ SY259 )
| ~ ~ ( p4 @ SY259 ) )
| ~ ( ~ ( p4 @ SY259 )
| ~ ( p3 @ SY259 ) ) ) ) )
= $true )
| ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( r1 @ SV14 @ SV17 )
= $false )
| ( ( r1 @ SV6 @ SV14 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[219]) ).
thf(228,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV25: $i,SV22: $i] :
( ( ( ~ ( r1 @ SV22 @ SV25 ) )
= $true )
| ( ( ! [SY260: $i] :
( ~ ( r1 @ SV25 @ SY260 )
| ! [SX8: $i] :
( ~ ( r1 @ SY260 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) )
= $true )
| ( ( r1 @ SV11 @ SV22 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(229,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV26: $i,SV18: $i] :
( ( ( ~ ( r1 @ SV18 @ SV26 )
| ! [SY262: $i] :
( ~ ( r1 @ SV26 @ SY262 )
| ! [SX8: $i] :
( ~ ( r1 @ SY262 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) )
= $true )
| ( ( r1 @ SV11 @ SV18 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(230,plain,
( ( ( p1 @ sK14_SY181 )
= $false )
| ( ( p3 @ sK14_SY181 )
= $false )
| ( ( p5 @ sK14_SY181 )
= $false )
| ( ( p6 @ sK14_SY181 )
= $false )
| ( ( p4 @ sK14_SY181 )
= $false )
| ( ( p2 @ sK14_SY181 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(231,plain,
( ( ( ~ ( p8 @ sK15_SY188 ) )
= $false )
| ( ( p12 @ sK15_SY188 )
= $true )
| ( ( p10 @ sK15_SY188 )
= $true )
| ( ( ~ ~ ( p6 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p4 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p2 @ sK15_SY188 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(232,plain,
! [SV2: $i,SV4: $i,SV5: $i,SV7: $i,SV9: $i,SV12: $i,SV15: $i,SV19: $i] :
( ( ( ~ ~ ( p5 @ SV19 )
| ~ ~ ( p1 @ SV19 ) )
= $true )
| ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( r1 @ SV12 @ SV15 )
= $false )
| ( ( r1 @ SV9 @ SV12 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV4 @ SV5 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[224]) ).
thf(233,plain,
! [SV2: $i,SV4: $i,SV5: $i,SV7: $i,SV9: $i,SV12: $i,SV15: $i,SV19: $i] :
( ( ( ~ ( p1 @ SV19 )
| ~ ( p5 @ SV19 ) )
= $true )
| ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( r1 @ SV12 @ SV15 )
= $false )
| ( ( r1 @ SV9 @ SV12 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV4 @ SV5 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[225]) ).
thf(234,plain,
! [SV2: $i,SV3: $i,SV8: $i,SV10: $i,SV13: $i,SV16: $i,SV23: $i,SV20: $i] :
( ( ( r1 @ SV20 @ SV23 )
= $false )
| ( ( ~ ( ~ ( ~ ~ ( p4 @ SV23 )
| ~ ~ ( p5 @ SV23 ) )
| ~ ( ~ ( p5 @ SV23 )
| ~ ( p4 @ SV23 ) ) ) )
= $true )
| ( ( r1 @ SV16 @ SV20 )
= $false )
| ( ( r1 @ SV13 @ SV16 )
= $false )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( r1 @ SV3 @ SV8 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(235,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV14: $i,SV17: $i,SV24: $i,SV21: $i] :
( ( ( r1 @ SV21 @ SV24 )
= $false )
| ( ( ! [SY259: $i] :
( ~ ( r1 @ SV24 @ SY259 )
| ~ ( ~ ( ~ ~ ( p3 @ SY259 )
| ~ ~ ( p4 @ SY259 ) )
| ~ ( ~ ( p4 @ SY259 )
| ~ ( p3 @ SY259 ) ) ) ) )
= $true )
| ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( r1 @ SV14 @ SV17 )
= $false )
| ( ( r1 @ SV6 @ SV14 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(236,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV25: $i,SV22: $i] :
( ( ( r1 @ SV22 @ SV25 )
= $false )
| ( ( ! [SY260: $i] :
( ~ ( r1 @ SV25 @ SY260 )
| ! [SX8: $i] :
( ~ ( r1 @ SY260 @ SX8 )
| ~ ( ~ ( ~ ~ ( p2 @ SX8 )
| ~ ~ ( p3 @ SX8 ) )
| ~ ( ~ ( p3 @ SX8 )
| ~ ( p2 @ SX8 ) ) ) ) ) )
= $true )
| ( ( r1 @ SV11 @ SV22 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(237,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV26: $i,SV18: $i] :
( ( ( ~ ( r1 @ SV18 @ SV26 ) )
= $true )
| ( ( ! [SY262: $i] :
( ~ ( r1 @ SV26 @ SY262 )
| ! [SX8: $i] :
( ~ ( r1 @ SY262 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) )
= $true )
| ( ( r1 @ SV11 @ SV18 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[229]) ).
thf(238,plain,
( ( ( p8 @ sK15_SY188 )
= $true )
| ( ( p12 @ sK15_SY188 )
= $true )
| ( ( p10 @ sK15_SY188 )
= $true )
| ( ( ~ ~ ( p6 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p4 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p2 @ sK15_SY188 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[231]) ).
thf(239,plain,
! [SV2: $i,SV4: $i,SV5: $i,SV7: $i,SV9: $i,SV12: $i,SV15: $i,SV19: $i] :
( ( ( ~ ~ ( p5 @ SV19 ) )
= $true )
| ( ( ~ ~ ( p1 @ SV19 ) )
= $true )
| ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( r1 @ SV12 @ SV15 )
= $false )
| ( ( r1 @ SV9 @ SV12 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV4 @ SV5 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(240,plain,
! [SV2: $i,SV4: $i,SV5: $i,SV7: $i,SV9: $i,SV12: $i,SV15: $i,SV19: $i] :
( ( ( ~ ( p1 @ SV19 ) )
= $true )
| ( ( ~ ( p5 @ SV19 ) )
= $true )
| ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( r1 @ SV12 @ SV15 )
= $false )
| ( ( r1 @ SV9 @ SV12 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV4 @ SV5 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[233]) ).
thf(241,plain,
! [SV2: $i,SV3: $i,SV8: $i,SV10: $i,SV13: $i,SV16: $i,SV20: $i,SV23: $i] :
( ( ( ~ ( ~ ~ ( p4 @ SV23 )
| ~ ~ ( p5 @ SV23 ) )
| ~ ( ~ ( p5 @ SV23 )
| ~ ( p4 @ SV23 ) ) )
= $false )
| ( ( r1 @ SV20 @ SV23 )
= $false )
| ( ( r1 @ SV16 @ SV20 )
= $false )
| ( ( r1 @ SV13 @ SV16 )
= $false )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( r1 @ SV3 @ SV8 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(242,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV14: $i,SV17: $i,SV21: $i,SV27: $i,SV24: $i] :
( ( ( ~ ( r1 @ SV24 @ SV27 )
| ~ ( ~ ( ~ ~ ( p3 @ SV27 )
| ~ ~ ( p4 @ SV27 ) )
| ~ ( ~ ( p4 @ SV27 )
| ~ ( p3 @ SV27 ) ) ) )
= $true )
| ( ( r1 @ SV21 @ SV24 )
= $false )
| ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( r1 @ SV14 @ SV17 )
= $false )
| ( ( r1 @ SV6 @ SV14 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(243,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV22: $i,SV28: $i,SV25: $i] :
( ( ( ~ ( r1 @ SV25 @ SV28 )
| ! [SY264: $i] :
( ~ ( r1 @ SV28 @ SY264 )
| ~ ( ~ ( ~ ~ ( p2 @ SY264 )
| ~ ~ ( p3 @ SY264 ) )
| ~ ( ~ ( p3 @ SY264 )
| ~ ( p2 @ SY264 ) ) ) ) )
= $true )
| ( ( r1 @ SV22 @ SV25 )
= $false )
| ( ( r1 @ SV11 @ SV22 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(244,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV26: $i,SV18: $i] :
( ( ( r1 @ SV18 @ SV26 )
= $false )
| ( ( ! [SY262: $i] :
( ~ ( r1 @ SV26 @ SY262 )
| ! [SX8: $i] :
( ~ ( r1 @ SY262 @ SX8 )
| ~ ( ~ ( ~ ~ ( p1 @ SX8 )
| ~ ~ ( p2 @ SX8 ) )
| ~ ( ~ ( p2 @ SX8 )
| ~ ( p1 @ SX8 ) ) ) ) ) )
= $true )
| ( ( r1 @ SV11 @ SV18 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(245,plain,
( ( ( ~ ( p6 @ sK15_SY188 ) )
= $false )
| ( ( p10 @ sK15_SY188 )
= $true )
| ( ( p12 @ sK15_SY188 )
= $true )
| ( ( p8 @ sK15_SY188 )
= $true )
| ( ( ~ ~ ( p4 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p2 @ sK15_SY188 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(246,plain,
! [SV2: $i,SV4: $i,SV5: $i,SV7: $i,SV9: $i,SV12: $i,SV15: $i,SV19: $i] :
( ( ( ~ ( p5 @ SV19 ) )
= $false )
| ( ( ~ ~ ( p1 @ SV19 ) )
= $true )
| ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( r1 @ SV12 @ SV15 )
= $false )
| ( ( r1 @ SV9 @ SV12 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV4 @ SV5 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(247,plain,
! [SV2: $i,SV4: $i,SV5: $i,SV7: $i,SV9: $i,SV12: $i,SV15: $i,SV19: $i] :
( ( ( p1 @ SV19 )
= $false )
| ( ( ~ ( p5 @ SV19 ) )
= $true )
| ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( r1 @ SV12 @ SV15 )
= $false )
| ( ( r1 @ SV9 @ SV12 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV4 @ SV5 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(248,plain,
! [SV2: $i,SV3: $i,SV8: $i,SV10: $i,SV13: $i,SV16: $i,SV20: $i,SV23: $i] :
( ( ( ~ ( ~ ~ ( p4 @ SV23 )
| ~ ~ ( p5 @ SV23 ) ) )
= $false )
| ( ( r1 @ SV20 @ SV23 )
= $false )
| ( ( r1 @ SV16 @ SV20 )
= $false )
| ( ( r1 @ SV13 @ SV16 )
= $false )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( r1 @ SV3 @ SV8 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[241]) ).
thf(249,plain,
! [SV2: $i,SV3: $i,SV8: $i,SV10: $i,SV13: $i,SV16: $i,SV20: $i,SV23: $i] :
( ( ( ~ ( ~ ( p5 @ SV23 )
| ~ ( p4 @ SV23 ) ) )
= $false )
| ( ( r1 @ SV20 @ SV23 )
= $false )
| ( ( r1 @ SV16 @ SV20 )
= $false )
| ( ( r1 @ SV13 @ SV16 )
= $false )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( r1 @ SV3 @ SV8 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[241]) ).
thf(250,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV14: $i,SV17: $i,SV21: $i,SV27: $i,SV24: $i] :
( ( ( ~ ( r1 @ SV24 @ SV27 ) )
= $true )
| ( ( ~ ( ~ ( ~ ~ ( p3 @ SV27 )
| ~ ~ ( p4 @ SV27 ) )
| ~ ( ~ ( p4 @ SV27 )
| ~ ( p3 @ SV27 ) ) ) )
= $true )
| ( ( r1 @ SV21 @ SV24 )
= $false )
| ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( r1 @ SV14 @ SV17 )
= $false )
| ( ( r1 @ SV6 @ SV14 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(251,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV22: $i,SV28: $i,SV25: $i] :
( ( ( ~ ( r1 @ SV25 @ SV28 ) )
= $true )
| ( ( ! [SY264: $i] :
( ~ ( r1 @ SV28 @ SY264 )
| ~ ( ~ ( ~ ~ ( p2 @ SY264 )
| ~ ~ ( p3 @ SY264 ) )
| ~ ( ~ ( p3 @ SY264 )
| ~ ( p2 @ SY264 ) ) ) ) )
= $true )
| ( ( r1 @ SV22 @ SV25 )
= $false )
| ( ( r1 @ SV11 @ SV22 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[243]) ).
thf(252,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV18: $i,SV29: $i,SV26: $i] :
( ( ( ~ ( r1 @ SV26 @ SV29 )
| ! [SY265: $i] :
( ~ ( r1 @ SV29 @ SY265 )
| ~ ( ~ ( ~ ~ ( p1 @ SY265 )
| ~ ~ ( p2 @ SY265 ) )
| ~ ( ~ ( p2 @ SY265 )
| ~ ( p1 @ SY265 ) ) ) ) )
= $true )
| ( ( r1 @ SV18 @ SV26 )
= $false )
| ( ( r1 @ SV11 @ SV18 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(253,plain,
( ( ( p6 @ sK15_SY188 )
= $true )
| ( ( p10 @ sK15_SY188 )
= $true )
| ( ( p12 @ sK15_SY188 )
= $true )
| ( ( p8 @ sK15_SY188 )
= $true )
| ( ( ~ ~ ( p4 @ sK15_SY188 ) )
= $true )
| ( ( ~ ~ ( p2 @ sK15_SY188 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[245]) ).
thf(254,plain,
! [SV2: $i,SV4: $i,SV5: $i,SV7: $i,SV9: $i,SV12: $i,SV15: $i,SV19: $i] :
( ( ( p5 @ SV19 )
= $true )
| ( ( ~ ~ ( p1 @ SV19 ) )
= $true )
| ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( r1 @ SV12 @ SV15 )
= $false )
| ( ( r1 @ SV9 @ SV12 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV4 @ SV5 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[246]) ).
thf(255,plain,
! [SV2: $i,SV4: $i,SV5: $i,SV7: $i,SV9: $i,SV12: $i,SV15: $i,SV19: $i] :
( ( ( p5 @ SV19 )
= $false )
| ( ( p1 @ SV19 )
= $false )
| ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( r1 @ SV12 @ SV15 )
= $false )
| ( ( r1 @ SV9 @ SV12 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV4 @ SV5 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(256,plain,
! [SV2: $i,SV3: $i,SV8: $i,SV10: $i,SV13: $i,SV16: $i,SV20: $i,SV23: $i] :
( ( ( ~ ~ ( p4 @ SV23 )
| ~ ~ ( p5 @ SV23 ) )
= $true )
| ( ( r1 @ SV20 @ SV23 )
= $false )
| ( ( r1 @ SV16 @ SV20 )
= $false )
| ( ( r1 @ SV13 @ SV16 )
= $false )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( r1 @ SV3 @ SV8 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[248]) ).
thf(257,plain,
! [SV2: $i,SV3: $i,SV8: $i,SV10: $i,SV13: $i,SV16: $i,SV20: $i,SV23: $i] :
( ( ( ~ ( p5 @ SV23 )
| ~ ( p4 @ SV23 ) )
= $true )
| ( ( r1 @ SV20 @ SV23 )
= $false )
| ( ( r1 @ SV16 @ SV20 )
= $false )
| ( ( r1 @ SV13 @ SV16 )
= $false )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( r1 @ SV3 @ SV8 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[249]) ).
thf(258,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV14: $i,SV17: $i,SV21: $i,SV27: $i,SV24: $i] :
( ( ( r1 @ SV24 @ SV27 )
= $false )
| ( ( ~ ( ~ ( ~ ~ ( p3 @ SV27 )
| ~ ~ ( p4 @ SV27 ) )
| ~ ( ~ ( p4 @ SV27 )
| ~ ( p3 @ SV27 ) ) ) )
= $true )
| ( ( r1 @ SV21 @ SV24 )
= $false )
| ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( r1 @ SV14 @ SV17 )
= $false )
| ( ( r1 @ SV6 @ SV14 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(259,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV22: $i,SV28: $i,SV25: $i] :
( ( ( r1 @ SV25 @ SV28 )
= $false )
| ( ( ! [SY264: $i] :
( ~ ( r1 @ SV28 @ SY264 )
| ~ ( ~ ( ~ ~ ( p2 @ SY264 )
| ~ ~ ( p3 @ SY264 ) )
| ~ ( ~ ( p3 @ SY264 )
| ~ ( p2 @ SY264 ) ) ) ) )
= $true )
| ( ( r1 @ SV22 @ SV25 )
= $false )
| ( ( r1 @ SV11 @ SV22 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(260,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV18: $i,SV29: $i,SV26: $i] :
( ( ( ~ ( r1 @ SV26 @ SV29 ) )
= $true )
| ( ( ! [SY265: $i] :
( ~ ( r1 @ SV29 @ SY265 )
| ~ ( ~ ( ~ ~ ( p1 @ SY265 )
| ~ ~ ( p2 @ SY265 ) )
| ~ ( ~ ( p2 @ SY265 )
| ~ ( p1 @ SY265 ) ) ) ) )
= $true )
| ( ( r1 @ SV18 @ SV26 )
= $false )
| ( ( r1 @ SV11 @ SV18 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(261,plain,
( ( ( ~ ( p4 @ sK15_SY188 ) )
= $false )
| ( ( p8 @ sK15_SY188 )
= $true )
| ( ( p12 @ sK15_SY188 )
= $true )
| ( ( p10 @ sK15_SY188 )
= $true )
| ( ( p6 @ sK15_SY188 )
= $true )
| ( ( ~ ~ ( p2 @ sK15_SY188 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(262,plain,
! [SV2: $i,SV4: $i,SV5: $i,SV7: $i,SV9: $i,SV12: $i,SV15: $i,SV19: $i] :
( ( ( ~ ( p1 @ SV19 ) )
= $false )
| ( ( p5 @ SV19 )
= $true )
| ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( r1 @ SV12 @ SV15 )
= $false )
| ( ( r1 @ SV9 @ SV12 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV4 @ SV5 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(263,plain,
! [SV2: $i,SV3: $i,SV8: $i,SV10: $i,SV13: $i,SV16: $i,SV20: $i,SV23: $i] :
( ( ( ~ ~ ( p4 @ SV23 ) )
= $true )
| ( ( ~ ~ ( p5 @ SV23 ) )
= $true )
| ( ( r1 @ SV20 @ SV23 )
= $false )
| ( ( r1 @ SV16 @ SV20 )
= $false )
| ( ( r1 @ SV13 @ SV16 )
= $false )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( r1 @ SV3 @ SV8 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[256]) ).
thf(264,plain,
! [SV2: $i,SV3: $i,SV8: $i,SV10: $i,SV13: $i,SV16: $i,SV20: $i,SV23: $i] :
( ( ( ~ ( p5 @ SV23 ) )
= $true )
| ( ( ~ ( p4 @ SV23 ) )
= $true )
| ( ( r1 @ SV20 @ SV23 )
= $false )
| ( ( r1 @ SV16 @ SV20 )
= $false )
| ( ( r1 @ SV13 @ SV16 )
= $false )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( r1 @ SV3 @ SV8 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[257]) ).
thf(265,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV14: $i,SV17: $i,SV21: $i,SV24: $i,SV27: $i] :
( ( ( ~ ( ~ ~ ( p3 @ SV27 )
| ~ ~ ( p4 @ SV27 ) )
| ~ ( ~ ( p4 @ SV27 )
| ~ ( p3 @ SV27 ) ) )
= $false )
| ( ( r1 @ SV24 @ SV27 )
= $false )
| ( ( r1 @ SV21 @ SV24 )
= $false )
| ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( r1 @ SV14 @ SV17 )
= $false )
| ( ( r1 @ SV6 @ SV14 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(266,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV22: $i,SV25: $i,SV30: $i,SV28: $i] :
( ( ( ~ ( r1 @ SV28 @ SV30 )
| ~ ( ~ ( ~ ~ ( p2 @ SV30 )
| ~ ~ ( p3 @ SV30 ) )
| ~ ( ~ ( p3 @ SV30 )
| ~ ( p2 @ SV30 ) ) ) )
= $true )
| ( ( r1 @ SV25 @ SV28 )
= $false )
| ( ( r1 @ SV22 @ SV25 )
= $false )
| ( ( r1 @ SV11 @ SV22 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[259]) ).
thf(267,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV18: $i,SV29: $i,SV26: $i] :
( ( ( r1 @ SV26 @ SV29 )
= $false )
| ( ( ! [SY265: $i] :
( ~ ( r1 @ SV29 @ SY265 )
| ~ ( ~ ( ~ ~ ( p1 @ SY265 )
| ~ ~ ( p2 @ SY265 ) )
| ~ ( ~ ( p2 @ SY265 )
| ~ ( p1 @ SY265 ) ) ) ) )
= $true )
| ( ( r1 @ SV18 @ SV26 )
= $false )
| ( ( r1 @ SV11 @ SV18 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(268,plain,
( ( ( p4 @ sK15_SY188 )
= $true )
| ( ( p8 @ sK15_SY188 )
= $true )
| ( ( p12 @ sK15_SY188 )
= $true )
| ( ( p10 @ sK15_SY188 )
= $true )
| ( ( p6 @ sK15_SY188 )
= $true )
| ( ( ~ ~ ( p2 @ sK15_SY188 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[261]) ).
thf(269,plain,
! [SV2: $i,SV4: $i,SV5: $i,SV7: $i,SV9: $i,SV12: $i,SV15: $i,SV19: $i] :
( ( ( p1 @ SV19 )
= $true )
| ( ( p5 @ SV19 )
= $true )
| ( ( r1 @ SV15 @ SV19 )
= $false )
| ( ( r1 @ SV12 @ SV15 )
= $false )
| ( ( r1 @ SV9 @ SV12 )
= $false )
| ( ( r1 @ SV7 @ SV9 )
= $false )
| ( ( r1 @ SV5 @ SV7 )
= $false )
| ( ( r1 @ SV4 @ SV5 )
= $false )
| ( ( r1 @ SV2 @ SV4 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[262]) ).
thf(270,plain,
! [SV2: $i,SV3: $i,SV8: $i,SV10: $i,SV13: $i,SV16: $i,SV20: $i,SV23: $i] :
( ( ( ~ ( p4 @ SV23 ) )
= $false )
| ( ( ~ ~ ( p5 @ SV23 ) )
= $true )
| ( ( r1 @ SV20 @ SV23 )
= $false )
| ( ( r1 @ SV16 @ SV20 )
= $false )
| ( ( r1 @ SV13 @ SV16 )
= $false )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( r1 @ SV3 @ SV8 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(271,plain,
! [SV2: $i,SV3: $i,SV8: $i,SV10: $i,SV13: $i,SV16: $i,SV20: $i,SV23: $i] :
( ( ( p5 @ SV23 )
= $false )
| ( ( ~ ( p4 @ SV23 ) )
= $true )
| ( ( r1 @ SV20 @ SV23 )
= $false )
| ( ( r1 @ SV16 @ SV20 )
= $false )
| ( ( r1 @ SV13 @ SV16 )
= $false )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( r1 @ SV3 @ SV8 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(272,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV14: $i,SV17: $i,SV21: $i,SV24: $i,SV27: $i] :
( ( ( ~ ( ~ ~ ( p3 @ SV27 )
| ~ ~ ( p4 @ SV27 ) ) )
= $false )
| ( ( r1 @ SV24 @ SV27 )
= $false )
| ( ( r1 @ SV21 @ SV24 )
= $false )
| ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( r1 @ SV14 @ SV17 )
= $false )
| ( ( r1 @ SV6 @ SV14 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(273,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV14: $i,SV17: $i,SV21: $i,SV24: $i,SV27: $i] :
( ( ( ~ ( ~ ( p4 @ SV27 )
| ~ ( p3 @ SV27 ) ) )
= $false )
| ( ( r1 @ SV24 @ SV27 )
= $false )
| ( ( r1 @ SV21 @ SV24 )
= $false )
| ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( r1 @ SV14 @ SV17 )
= $false )
| ( ( r1 @ SV6 @ SV14 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(274,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV22: $i,SV25: $i,SV30: $i,SV28: $i] :
( ( ( ~ ( r1 @ SV28 @ SV30 ) )
= $true )
| ( ( ~ ( ~ ( ~ ~ ( p2 @ SV30 )
| ~ ~ ( p3 @ SV30 ) )
| ~ ( ~ ( p3 @ SV30 )
| ~ ( p2 @ SV30 ) ) ) )
= $true )
| ( ( r1 @ SV25 @ SV28 )
= $false )
| ( ( r1 @ SV22 @ SV25 )
= $false )
| ( ( r1 @ SV11 @ SV22 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[266]) ).
thf(275,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV18: $i,SV26: $i,SV31: $i,SV29: $i] :
( ( ( ~ ( r1 @ SV29 @ SV31 )
| ~ ( ~ ( ~ ~ ( p1 @ SV31 )
| ~ ~ ( p2 @ SV31 ) )
| ~ ( ~ ( p2 @ SV31 )
| ~ ( p1 @ SV31 ) ) ) )
= $true )
| ( ( r1 @ SV26 @ SV29 )
= $false )
| ( ( r1 @ SV18 @ SV26 )
= $false )
| ( ( r1 @ SV11 @ SV18 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(276,plain,
( ( ( ~ ( p2 @ sK15_SY188 ) )
= $false )
| ( ( p6 @ sK15_SY188 )
= $true )
| ( ( p10 @ sK15_SY188 )
= $true )
| ( ( p12 @ sK15_SY188 )
= $true )
| ( ( p8 @ sK15_SY188 )
= $true )
| ( ( p4 @ sK15_SY188 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(277,plain,
! [SV2: $i,SV3: $i,SV8: $i,SV10: $i,SV13: $i,SV16: $i,SV20: $i,SV23: $i] :
( ( ( p4 @ SV23 )
= $true )
| ( ( ~ ~ ( p5 @ SV23 ) )
= $true )
| ( ( r1 @ SV20 @ SV23 )
= $false )
| ( ( r1 @ SV16 @ SV20 )
= $false )
| ( ( r1 @ SV13 @ SV16 )
= $false )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( r1 @ SV3 @ SV8 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[270]) ).
thf(278,plain,
! [SV2: $i,SV3: $i,SV8: $i,SV10: $i,SV13: $i,SV16: $i,SV20: $i,SV23: $i] :
( ( ( p4 @ SV23 )
= $false )
| ( ( p5 @ SV23 )
= $false )
| ( ( r1 @ SV20 @ SV23 )
= $false )
| ( ( r1 @ SV16 @ SV20 )
= $false )
| ( ( r1 @ SV13 @ SV16 )
= $false )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( r1 @ SV3 @ SV8 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(279,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV14: $i,SV17: $i,SV21: $i,SV24: $i,SV27: $i] :
( ( ( ~ ~ ( p3 @ SV27 )
| ~ ~ ( p4 @ SV27 ) )
= $true )
| ( ( r1 @ SV24 @ SV27 )
= $false )
| ( ( r1 @ SV21 @ SV24 )
= $false )
| ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( r1 @ SV14 @ SV17 )
= $false )
| ( ( r1 @ SV6 @ SV14 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(280,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV14: $i,SV17: $i,SV21: $i,SV24: $i,SV27: $i] :
( ( ( ~ ( p4 @ SV27 )
| ~ ( p3 @ SV27 ) )
= $true )
| ( ( r1 @ SV24 @ SV27 )
= $false )
| ( ( r1 @ SV21 @ SV24 )
= $false )
| ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( r1 @ SV14 @ SV17 )
= $false )
| ( ( r1 @ SV6 @ SV14 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[273]) ).
thf(281,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV22: $i,SV25: $i,SV30: $i,SV28: $i] :
( ( ( r1 @ SV28 @ SV30 )
= $false )
| ( ( ~ ( ~ ( ~ ~ ( p2 @ SV30 )
| ~ ~ ( p3 @ SV30 ) )
| ~ ( ~ ( p3 @ SV30 )
| ~ ( p2 @ SV30 ) ) ) )
= $true )
| ( ( r1 @ SV25 @ SV28 )
= $false )
| ( ( r1 @ SV22 @ SV25 )
= $false )
| ( ( r1 @ SV11 @ SV22 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(282,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV18: $i,SV26: $i,SV31: $i,SV29: $i] :
( ( ( ~ ( r1 @ SV29 @ SV31 ) )
= $true )
| ( ( ~ ( ~ ( ~ ~ ( p1 @ SV31 )
| ~ ~ ( p2 @ SV31 ) )
| ~ ( ~ ( p2 @ SV31 )
| ~ ( p1 @ SV31 ) ) ) )
= $true )
| ( ( r1 @ SV26 @ SV29 )
= $false )
| ( ( r1 @ SV18 @ SV26 )
= $false )
| ( ( r1 @ SV11 @ SV18 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[275]) ).
thf(283,plain,
( ( ( p2 @ sK15_SY188 )
= $true )
| ( ( p6 @ sK15_SY188 )
= $true )
| ( ( p10 @ sK15_SY188 )
= $true )
| ( ( p12 @ sK15_SY188 )
= $true )
| ( ( p8 @ sK15_SY188 )
= $true )
| ( ( p4 @ sK15_SY188 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[276]) ).
thf(284,plain,
! [SV2: $i,SV3: $i,SV8: $i,SV10: $i,SV13: $i,SV16: $i,SV20: $i,SV23: $i] :
( ( ( ~ ( p5 @ SV23 ) )
= $false )
| ( ( p4 @ SV23 )
= $true )
| ( ( r1 @ SV20 @ SV23 )
= $false )
| ( ( r1 @ SV16 @ SV20 )
= $false )
| ( ( r1 @ SV13 @ SV16 )
= $false )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( r1 @ SV3 @ SV8 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(285,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV14: $i,SV17: $i,SV21: $i,SV24: $i,SV27: $i] :
( ( ( ~ ~ ( p3 @ SV27 ) )
= $true )
| ( ( ~ ~ ( p4 @ SV27 ) )
= $true )
| ( ( r1 @ SV24 @ SV27 )
= $false )
| ( ( r1 @ SV21 @ SV24 )
= $false )
| ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( r1 @ SV14 @ SV17 )
= $false )
| ( ( r1 @ SV6 @ SV14 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[279]) ).
thf(286,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV14: $i,SV17: $i,SV21: $i,SV24: $i,SV27: $i] :
( ( ( ~ ( p4 @ SV27 ) )
= $true )
| ( ( ~ ( p3 @ SV27 ) )
= $true )
| ( ( r1 @ SV24 @ SV27 )
= $false )
| ( ( r1 @ SV21 @ SV24 )
= $false )
| ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( r1 @ SV14 @ SV17 )
= $false )
| ( ( r1 @ SV6 @ SV14 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[280]) ).
thf(287,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV22: $i,SV25: $i,SV28: $i,SV30: $i] :
( ( ( ~ ( ~ ~ ( p2 @ SV30 )
| ~ ~ ( p3 @ SV30 ) )
| ~ ( ~ ( p3 @ SV30 )
| ~ ( p2 @ SV30 ) ) )
= $false )
| ( ( r1 @ SV28 @ SV30 )
= $false )
| ( ( r1 @ SV25 @ SV28 )
= $false )
| ( ( r1 @ SV22 @ SV25 )
= $false )
| ( ( r1 @ SV11 @ SV22 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(288,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV18: $i,SV26: $i,SV31: $i,SV29: $i] :
( ( ( r1 @ SV29 @ SV31 )
= $false )
| ( ( ~ ( ~ ( ~ ~ ( p1 @ SV31 )
| ~ ~ ( p2 @ SV31 ) )
| ~ ( ~ ( p2 @ SV31 )
| ~ ( p1 @ SV31 ) ) ) )
= $true )
| ( ( r1 @ SV26 @ SV29 )
= $false )
| ( ( r1 @ SV18 @ SV26 )
= $false )
| ( ( r1 @ SV11 @ SV18 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(289,plain,
! [SV2: $i,SV3: $i,SV8: $i,SV10: $i,SV13: $i,SV16: $i,SV20: $i,SV23: $i] :
( ( ( p5 @ SV23 )
= $true )
| ( ( p4 @ SV23 )
= $true )
| ( ( r1 @ SV20 @ SV23 )
= $false )
| ( ( r1 @ SV16 @ SV20 )
= $false )
| ( ( r1 @ SV13 @ SV16 )
= $false )
| ( ( r1 @ SV10 @ SV13 )
= $false )
| ( ( r1 @ SV8 @ SV10 )
= $false )
| ( ( r1 @ SV3 @ SV8 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[284]) ).
thf(290,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV14: $i,SV17: $i,SV21: $i,SV24: $i,SV27: $i] :
( ( ( ~ ( p3 @ SV27 ) )
= $false )
| ( ( ~ ~ ( p4 @ SV27 ) )
= $true )
| ( ( r1 @ SV24 @ SV27 )
= $false )
| ( ( r1 @ SV21 @ SV24 )
= $false )
| ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( r1 @ SV14 @ SV17 )
= $false )
| ( ( r1 @ SV6 @ SV14 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(291,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV14: $i,SV17: $i,SV21: $i,SV24: $i,SV27: $i] :
( ( ( p4 @ SV27 )
= $false )
| ( ( ~ ( p3 @ SV27 ) )
= $true )
| ( ( r1 @ SV24 @ SV27 )
= $false )
| ( ( r1 @ SV21 @ SV24 )
= $false )
| ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( r1 @ SV14 @ SV17 )
= $false )
| ( ( r1 @ SV6 @ SV14 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(292,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV22: $i,SV25: $i,SV28: $i,SV30: $i] :
( ( ( ~ ( ~ ~ ( p2 @ SV30 )
| ~ ~ ( p3 @ SV30 ) ) )
= $false )
| ( ( r1 @ SV28 @ SV30 )
= $false )
| ( ( r1 @ SV25 @ SV28 )
= $false )
| ( ( r1 @ SV22 @ SV25 )
= $false )
| ( ( r1 @ SV11 @ SV22 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[287]) ).
thf(293,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV22: $i,SV25: $i,SV28: $i,SV30: $i] :
( ( ( ~ ( ~ ( p3 @ SV30 )
| ~ ( p2 @ SV30 ) ) )
= $false )
| ( ( r1 @ SV28 @ SV30 )
= $false )
| ( ( r1 @ SV25 @ SV28 )
= $false )
| ( ( r1 @ SV22 @ SV25 )
= $false )
| ( ( r1 @ SV11 @ SV22 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[287]) ).
thf(294,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV18: $i,SV26: $i,SV29: $i,SV31: $i] :
( ( ( ~ ( ~ ~ ( p1 @ SV31 )
| ~ ~ ( p2 @ SV31 ) )
| ~ ( ~ ( p2 @ SV31 )
| ~ ( p1 @ SV31 ) ) )
= $false )
| ( ( r1 @ SV29 @ SV31 )
= $false )
| ( ( r1 @ SV26 @ SV29 )
= $false )
| ( ( r1 @ SV18 @ SV26 )
= $false )
| ( ( r1 @ SV11 @ SV18 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(295,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV14: $i,SV17: $i,SV21: $i,SV24: $i,SV27: $i] :
( ( ( p3 @ SV27 )
= $true )
| ( ( ~ ~ ( p4 @ SV27 ) )
= $true )
| ( ( r1 @ SV24 @ SV27 )
= $false )
| ( ( r1 @ SV21 @ SV24 )
= $false )
| ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( r1 @ SV14 @ SV17 )
= $false )
| ( ( r1 @ SV6 @ SV14 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[290]) ).
thf(296,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV14: $i,SV17: $i,SV21: $i,SV24: $i,SV27: $i] :
( ( ( p3 @ SV27 )
= $false )
| ( ( p4 @ SV27 )
= $false )
| ( ( r1 @ SV24 @ SV27 )
= $false )
| ( ( r1 @ SV21 @ SV24 )
= $false )
| ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( r1 @ SV14 @ SV17 )
= $false )
| ( ( r1 @ SV6 @ SV14 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(297,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV22: $i,SV25: $i,SV28: $i,SV30: $i] :
( ( ( ~ ~ ( p2 @ SV30 )
| ~ ~ ( p3 @ SV30 ) )
= $true )
| ( ( r1 @ SV28 @ SV30 )
= $false )
| ( ( r1 @ SV25 @ SV28 )
= $false )
| ( ( r1 @ SV22 @ SV25 )
= $false )
| ( ( r1 @ SV11 @ SV22 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[292]) ).
thf(298,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV22: $i,SV25: $i,SV28: $i,SV30: $i] :
( ( ( ~ ( p3 @ SV30 )
| ~ ( p2 @ SV30 ) )
= $true )
| ( ( r1 @ SV28 @ SV30 )
= $false )
| ( ( r1 @ SV25 @ SV28 )
= $false )
| ( ( r1 @ SV22 @ SV25 )
= $false )
| ( ( r1 @ SV11 @ SV22 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[293]) ).
thf(299,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV18: $i,SV26: $i,SV29: $i,SV31: $i] :
( ( ( ~ ( ~ ~ ( p1 @ SV31 )
| ~ ~ ( p2 @ SV31 ) ) )
= $false )
| ( ( r1 @ SV29 @ SV31 )
= $false )
| ( ( r1 @ SV26 @ SV29 )
= $false )
| ( ( r1 @ SV18 @ SV26 )
= $false )
| ( ( r1 @ SV11 @ SV18 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[294]) ).
thf(300,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV18: $i,SV26: $i,SV29: $i,SV31: $i] :
( ( ( ~ ( ~ ( p2 @ SV31 )
| ~ ( p1 @ SV31 ) ) )
= $false )
| ( ( r1 @ SV29 @ SV31 )
= $false )
| ( ( r1 @ SV26 @ SV29 )
= $false )
| ( ( r1 @ SV18 @ SV26 )
= $false )
| ( ( r1 @ SV11 @ SV18 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[294]) ).
thf(301,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV14: $i,SV17: $i,SV21: $i,SV24: $i,SV27: $i] :
( ( ( ~ ( p4 @ SV27 ) )
= $false )
| ( ( p3 @ SV27 )
= $true )
| ( ( r1 @ SV24 @ SV27 )
= $false )
| ( ( r1 @ SV21 @ SV24 )
= $false )
| ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( r1 @ SV14 @ SV17 )
= $false )
| ( ( r1 @ SV6 @ SV14 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(302,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV22: $i,SV25: $i,SV28: $i,SV30: $i] :
( ( ( ~ ~ ( p2 @ SV30 ) )
= $true )
| ( ( ~ ~ ( p3 @ SV30 ) )
= $true )
| ( ( r1 @ SV28 @ SV30 )
= $false )
| ( ( r1 @ SV25 @ SV28 )
= $false )
| ( ( r1 @ SV22 @ SV25 )
= $false )
| ( ( r1 @ SV11 @ SV22 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[297]) ).
thf(303,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV22: $i,SV25: $i,SV28: $i,SV30: $i] :
( ( ( ~ ( p3 @ SV30 ) )
= $true )
| ( ( ~ ( p2 @ SV30 ) )
= $true )
| ( ( r1 @ SV28 @ SV30 )
= $false )
| ( ( r1 @ SV25 @ SV28 )
= $false )
| ( ( r1 @ SV22 @ SV25 )
= $false )
| ( ( r1 @ SV11 @ SV22 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[298]) ).
thf(304,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV18: $i,SV26: $i,SV29: $i,SV31: $i] :
( ( ( ~ ~ ( p1 @ SV31 )
| ~ ~ ( p2 @ SV31 ) )
= $true )
| ( ( r1 @ SV29 @ SV31 )
= $false )
| ( ( r1 @ SV26 @ SV29 )
= $false )
| ( ( r1 @ SV18 @ SV26 )
= $false )
| ( ( r1 @ SV11 @ SV18 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(305,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV18: $i,SV26: $i,SV29: $i,SV31: $i] :
( ( ( ~ ( p2 @ SV31 )
| ~ ( p1 @ SV31 ) )
= $true )
| ( ( r1 @ SV29 @ SV31 )
= $false )
| ( ( r1 @ SV26 @ SV29 )
= $false )
| ( ( r1 @ SV18 @ SV26 )
= $false )
| ( ( r1 @ SV11 @ SV18 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[300]) ).
thf(306,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV14: $i,SV17: $i,SV21: $i,SV24: $i,SV27: $i] :
( ( ( p4 @ SV27 )
= $true )
| ( ( p3 @ SV27 )
= $true )
| ( ( r1 @ SV24 @ SV27 )
= $false )
| ( ( r1 @ SV21 @ SV24 )
= $false )
| ( ( r1 @ SV17 @ SV21 )
= $false )
| ( ( r1 @ SV14 @ SV17 )
= $false )
| ( ( r1 @ SV6 @ SV14 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[301]) ).
thf(307,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV22: $i,SV25: $i,SV28: $i,SV30: $i] :
( ( ( ~ ( p2 @ SV30 ) )
= $false )
| ( ( ~ ~ ( p3 @ SV30 ) )
= $true )
| ( ( r1 @ SV28 @ SV30 )
= $false )
| ( ( r1 @ SV25 @ SV28 )
= $false )
| ( ( r1 @ SV22 @ SV25 )
= $false )
| ( ( r1 @ SV11 @ SV22 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(308,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV22: $i,SV25: $i,SV28: $i,SV30: $i] :
( ( ( p3 @ SV30 )
= $false )
| ( ( ~ ( p2 @ SV30 ) )
= $true )
| ( ( r1 @ SV28 @ SV30 )
= $false )
| ( ( r1 @ SV25 @ SV28 )
= $false )
| ( ( r1 @ SV22 @ SV25 )
= $false )
| ( ( r1 @ SV11 @ SV22 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(309,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV18: $i,SV26: $i,SV29: $i,SV31: $i] :
( ( ( ~ ~ ( p1 @ SV31 ) )
= $true )
| ( ( ~ ~ ( p2 @ SV31 ) )
= $true )
| ( ( r1 @ SV29 @ SV31 )
= $false )
| ( ( r1 @ SV26 @ SV29 )
= $false )
| ( ( r1 @ SV18 @ SV26 )
= $false )
| ( ( r1 @ SV11 @ SV18 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[304]) ).
thf(310,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV18: $i,SV26: $i,SV29: $i,SV31: $i] :
( ( ( ~ ( p2 @ SV31 ) )
= $true )
| ( ( ~ ( p1 @ SV31 ) )
= $true )
| ( ( r1 @ SV29 @ SV31 )
= $false )
| ( ( r1 @ SV26 @ SV29 )
= $false )
| ( ( r1 @ SV18 @ SV26 )
= $false )
| ( ( r1 @ SV11 @ SV18 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[305]) ).
thf(311,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV22: $i,SV25: $i,SV28: $i,SV30: $i] :
( ( ( p2 @ SV30 )
= $true )
| ( ( ~ ~ ( p3 @ SV30 ) )
= $true )
| ( ( r1 @ SV28 @ SV30 )
= $false )
| ( ( r1 @ SV25 @ SV28 )
= $false )
| ( ( r1 @ SV22 @ SV25 )
= $false )
| ( ( r1 @ SV11 @ SV22 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[307]) ).
thf(312,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV22: $i,SV25: $i,SV28: $i,SV30: $i] :
( ( ( p2 @ SV30 )
= $false )
| ( ( p3 @ SV30 )
= $false )
| ( ( r1 @ SV28 @ SV30 )
= $false )
| ( ( r1 @ SV25 @ SV28 )
= $false )
| ( ( r1 @ SV22 @ SV25 )
= $false )
| ( ( r1 @ SV11 @ SV22 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(313,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV18: $i,SV26: $i,SV29: $i,SV31: $i] :
( ( ( ~ ( p1 @ SV31 ) )
= $false )
| ( ( ~ ~ ( p2 @ SV31 ) )
= $true )
| ( ( r1 @ SV29 @ SV31 )
= $false )
| ( ( r1 @ SV26 @ SV29 )
= $false )
| ( ( r1 @ SV18 @ SV26 )
= $false )
| ( ( r1 @ SV11 @ SV18 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(314,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV18: $i,SV26: $i,SV29: $i,SV31: $i] :
( ( ( p2 @ SV31 )
= $false )
| ( ( ~ ( p1 @ SV31 ) )
= $true )
| ( ( r1 @ SV29 @ SV31 )
= $false )
| ( ( r1 @ SV26 @ SV29 )
= $false )
| ( ( r1 @ SV18 @ SV26 )
= $false )
| ( ( r1 @ SV11 @ SV18 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[310]) ).
thf(315,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV22: $i,SV25: $i,SV28: $i,SV30: $i] :
( ( ( ~ ( p3 @ SV30 ) )
= $false )
| ( ( p2 @ SV30 )
= $true )
| ( ( r1 @ SV28 @ SV30 )
= $false )
| ( ( r1 @ SV25 @ SV28 )
= $false )
| ( ( r1 @ SV22 @ SV25 )
= $false )
| ( ( r1 @ SV11 @ SV22 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(316,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV18: $i,SV26: $i,SV29: $i,SV31: $i] :
( ( ( p1 @ SV31 )
= $true )
| ( ( ~ ~ ( p2 @ SV31 ) )
= $true )
| ( ( r1 @ SV29 @ SV31 )
= $false )
| ( ( r1 @ SV26 @ SV29 )
= $false )
| ( ( r1 @ SV18 @ SV26 )
= $false )
| ( ( r1 @ SV11 @ SV18 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[313]) ).
thf(317,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV18: $i,SV26: $i,SV29: $i,SV31: $i] :
( ( ( p1 @ SV31 )
= $false )
| ( ( p2 @ SV31 )
= $false )
| ( ( r1 @ SV29 @ SV31 )
= $false )
| ( ( r1 @ SV26 @ SV29 )
= $false )
| ( ( r1 @ SV18 @ SV26 )
= $false )
| ( ( r1 @ SV11 @ SV18 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[314]) ).
thf(318,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV22: $i,SV25: $i,SV28: $i,SV30: $i] :
( ( ( p3 @ SV30 )
= $true )
| ( ( p2 @ SV30 )
= $true )
| ( ( r1 @ SV28 @ SV30 )
= $false )
| ( ( r1 @ SV25 @ SV28 )
= $false )
| ( ( r1 @ SV22 @ SV25 )
= $false )
| ( ( r1 @ SV11 @ SV22 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[315]) ).
thf(319,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV18: $i,SV26: $i,SV29: $i,SV31: $i] :
( ( ( ~ ( p2 @ SV31 ) )
= $false )
| ( ( p1 @ SV31 )
= $true )
| ( ( r1 @ SV29 @ SV31 )
= $false )
| ( ( r1 @ SV26 @ SV29 )
= $false )
| ( ( r1 @ SV18 @ SV26 )
= $false )
| ( ( r1 @ SV11 @ SV18 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(320,plain,
! [SV2: $i,SV3: $i,SV6: $i,SV11: $i,SV18: $i,SV26: $i,SV29: $i,SV31: $i] :
( ( ( p2 @ SV31 )
= $true )
| ( ( p1 @ SV31 )
= $true )
| ( ( r1 @ SV29 @ SV31 )
= $false )
| ( ( r1 @ SV26 @ SV29 )
= $false )
| ( ( r1 @ SV18 @ SV26 )
= $false )
| ( ( r1 @ SV11 @ SV18 )
= $false )
| ( ( r1 @ SV6 @ SV11 )
= $false )
| ( ( r1 @ SV3 @ SV6 )
= $false )
| ( ( r1 @ SV2 @ SV3 )
= $false )
| ( ( r1 @ sK1_SX0 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[319]) ).
thf(321,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[10,320,318,317,312,306,296,289,283,278,269,255,230,206,198,160,153,120,114,103,94,89,81,79,76,72,66,61,52,48,41,39,37,33,28]) ).
thf(322,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[321]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL668+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.18 % Computer : n004.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Tue Oct 6 12:29:09 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 67.52/11.53
% 67.52/11.53 No.of.Axioms: 1
% 67.52/11.53
% 67.52/11.53 Length.of.Defs: 0
% 67.52/11.53
% 67.52/11.53 Contains.Choice.Funs: false
% 67.52/11.53 ....................
% 67.52/11.53
% 67.52/11.53 ********************************
% 67.52/11.53 * All subproblems solved! *
% 67.52/11.53 ********************************
% 67.52/11.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:1,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:321,loop_count:0,foatp_calls:1,translation:fof_full)
% 67.52/11.53
% 67.52/11.53 %**** Beginning of derivation protocol ****
% 67.52/11.53 % SZS output start CNFRefutation
% See solution above
% 67.52/11.53
% 67.52/11.53 %**** End of derivation protocol ****
% 67.52/11.53 %**** no. of clauses in derivation: 322 ****
% 67.52/11.53 %**** clause counter: 321 ****
% 67.52/11.53
% 67.52/11.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:1,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:321,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------